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Previous year question hub

Vector Algebra - Algebra - Mathematics Previous Year Questions

Practice Vector Algebra - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

181Papers
25Years
284Questions
1Topics

Vector Algebra question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Vector Algebra. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 234 82.4%
Easy 29 10.2%
Hard 21 7.4%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 228 80.3%
Numerical Answer Type (NAT) 56 19.7%

Subject weightage

Top subjects by unique question coverage.

Mathematics
284 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
284 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Vector Algebra
284 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT
3 Qs
JEE Main 2026 (Online) 2nd April Evening Shift
2 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT
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JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT
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JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT
2 Qs
JEE Main 2026 (Online) 2nd April Morning Shift
1 Qs
JEE Main 2026 (Online) 4th April Evening Shift
1 Qs
JEE Main 2026 (Online) 5th April Evening Shift
1 Qs
JEE Main 2026 (Online) 5th April Morning Shift
1 Qs
JEE Main 2026 (Online) 6th April Evening Shift
1 Qs
JEE Main 2026 (Online) 6th April Morning Shift
1 Qs
JEE Main 2026 (Online) 8th April Evening Shift
1 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT
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JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT
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JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT
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JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 23RD JANUARY EVENING SHIFT
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JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 2ND APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT
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JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT
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JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT
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JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT
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JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT
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JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT
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JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT
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JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
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JEE MAIN 2021 ONLINE 25TH JULY EVENING SHIFT
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JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT
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JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT
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JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT
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JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
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JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT
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JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT
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JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
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JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
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JEE Main 2021 (Online) 24th February Morning Shift
1 Qs
JEE Main 2021 (Online) 25th February Evening Shift
1 Qs
JEE Main 2021 (Online) 25th February Morning Shift
1 Qs
JEE Main 2021 (Online) 26th February Evening Shift
1 Qs
JEE Main 2021 (Online) 26th February Morning Shift
1 Qs
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
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JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT
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JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT
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JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 4TH SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 5TH SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT
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JEE MAIN 2020 ONLINE 7TH JANUARY MORNING SLOT
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JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT
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JEE MAIN 2020 ONLINE 8TH JANUARY MORNING SLOT
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JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT
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JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT
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JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
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JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
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JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT
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JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
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JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT
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JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT
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JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT
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JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT
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JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT
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JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT
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JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT
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JEE MAIN 2018 OFFLINE
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JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT
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JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT
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JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
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JEE MAIN 2017 OFFLINE
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JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
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JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 OFFLINE
1 Qs
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2015 OFFLINE
1 Qs
JEE MAIN 2014 OFFLINE
1 Qs
JEE MAIN 2013 OFFLINE
1 Qs
AIEEE 2012
2 Qs
AIEEE 2011
3 Qs
AIEEE 2010
2 Qs
AIEEE 2009
1 Qs
AIEEE 2008
2 Qs
IIT-JEE 2007
3 Qs
AIEEE 2007
2 Qs
AIEEE 2006
2 Qs
AIEEE 2005
5 Qs
AIEEE 2004
5 Qs
AIEEE 2003
8 Qs
AIEEE 2002
6 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
JEE Main 2026 (Online) 2nd April Evening Shift20262View paper
JEE Main 2026 (Online) 2nd April Morning Shift20261View paper
JEE Main 2026 (Online) 4th April Evening Shift20261View paper
JEE Main 2026 (Online) 5th April Evening Shift20261View paper
JEE Main 2026 (Online) 5th April Morning Shift20261View paper
JEE Main 2026 (Online) 6th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Morning Shift20261View paper
JEE Main 2026 (Online) 8th April Evening Shift20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT20263View paper
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT20262View paper
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT20262View paper
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT20262View paper
JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT20262View paper
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT20262View paper
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT20262View paper
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 2ND APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT20243View paper
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT20221View paper
JEE Main 2021 (Online) 24th February Morning Shift20211View paper
JEE Main 2021 (Online) 25th February Evening Shift20211View paper
JEE Main 2021 (Online) 25th February Morning Shift20211View paper
JEE Main 2021 (Online) 26th February Evening Shift20211View paper
JEE Main 2021 (Online) 26th February Morning Shift20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT20213View paper
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 25TH JULY EVENING SHIFT20213View paper
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT20211View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 4TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT20192View paper
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2018 OFFLINE20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT20181View paper
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT20181View paper
JEE MAIN 2017 OFFLINE20171View paper
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT20171View paper
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT20171View paper
JEE MAIN 2016 OFFLINE20161View paper
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All Vector Algebra previous year questions

Practice every matching question in batches of 20, with every available option.

1
2002 · Mathematics · Algebra · Vector Algebra
AIEEE 2002
If \(\overrightarrow a \,\,,\,\,\overrightarrow b \,\,,\,\,\overrightarrow c\) are vectors such that \(\left[ {\overrightarrow a \,\overrightarrow b \,\overrightarrow c } \right] = 4\) then \(\left[ {\overrightarrow a \, \times \overrightarrow b \,\,\overrightarrow b \times \,\overrightarrow c \,\,\overrightarrow c \, \times \overrightarrow a } \right] =\)
A
\(16\)
B
\(64\)
C
\(4\)
D
\(8\)
Open complete paper
2
2002 · Mathematics · Algebra · Vector Algebra
AIEEE 2002
If the vectors $\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}$ and $\overrightarrow{\mathbf{c}}$ from the sides $B C, C A$ and $A B$ respectively of a triangle $A B C$, then :
A
$\overrightarrow{\mathbf{a}} \cdot \overrightarrow{\mathbf{b}}=\overrightarrow{\mathbf{b}} \cdot \overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{c}} \cdot \overrightarrow{\mathbf{b}}=0$
B
$\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}=\overrightarrow{\mathbf{b}} \times \overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{c}} \times \overrightarrow{\mathbf{a}}$
C
$\overrightarrow{\mathbf{a}} \cdot \overrightarrow{\mathbf{b}}=\overrightarrow{\mathbf{b}} \cdot \overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{c}} \cdot \overrightarrow{\mathbf{a}}=0$
D
$\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{c}}+\overrightarrow{\mathbf{c}} \times \overrightarrow{\mathbf{a}}=\overrightarrow{\mathbf{0}}$
Open complete paper
3
2002 · Mathematics · Algebra · Vector Algebra
AIEEE 2002
If the vectors \(\overrightarrow c ,\overrightarrow a = x\widehat i + y\widehat j + z\widehat k\) and \(\widehat b = \widehat j\) are such that \(\overrightarrow a ,\overrightarrow c\) and \(\overrightarrow b\) form a right handed system then \({\overrightarrow c }\) is :
A
\(z\widehat i - x\widehat k\)
B
\(\overrightarrow 0\)
C
\(y\widehat j\)
D
\(- z\widehat i + x\widehat k\)
Open complete paper
4
2002 · Mathematics · Algebra · Vector Algebra
AIEEE 2002
If \(\left| {\overrightarrow a } \right| = 4,\left| {\overrightarrow b } \right| = 2\) and the angle between \({\overrightarrow a }\) and \({\overrightarrow b }\) is \(\pi /6\) then \({\left( {\overrightarrow a \times \overrightarrow b } \right)^2}\) is equal to :
A
\(48\)
B
\(16\)
C
\(\overrightarrow a\)
D
none of these
Open complete paper
5
2002 · Mathematics · Algebra · Vector Algebra
AIEEE 2002
\(\overrightarrow a = 3\widehat i - 5\widehat j\) and \(\overrightarrow b = 6\widehat i + 3\widehat j\) are two vectors and \(\overrightarrow c\) is a vector such that \(\overrightarrow c = \overrightarrow a \times \overrightarrow b\) then \(\left| {\overrightarrow a } \right|:\left| {\overrightarrow b } \right|:\left| {\overrightarrow c } \right|\) =
A
\(\sqrt {34} :\sqrt {45} :\sqrt {39}\)
B
\(\sqrt {34} :\sqrt {45} :39\)
C
\(34:39:45\)
D
\(39:35:34\)
Open complete paper
6
2002 · Mathematics · Algebra · Vector Algebra
AIEEE 2002
If \(\left| {\overrightarrow a } \right| = 5,\left| {\overrightarrow b } \right| = 4,\left| {\overrightarrow c } \right| = 3\) thus what will be the value of \(\left| {\overrightarrow a .\overrightarrow b + \overrightarrow b .\overrightarrow c + \overrightarrow c .\overrightarrow a } \right|,\) given that \(\overrightarrow a + \overrightarrow b + \overrightarrow c = 0\) :
A
\(25\)
B
\(50\)
C
\(-25\)
D
\(-50\)
Open complete paper
7
2003 · Mathematics · Algebra · Vector Algebra
AIEEE 2003
If \(\overrightarrow u \,,\overrightarrow v\) and \(\overrightarrow w\) are three non-coplanar vectors, then \(\,\left( {\overrightarrow u + \overrightarrow v - \overrightarrow w } \right).\left( {\overrightarrow u - \overrightarrow v } \right) \times \left( {\overrightarrow v - \overrightarrow w} \right)\) equals :
A
\(3\overrightarrow u .\overrightarrow v \times \overrightarrow w\)
B
\(0\)
C
\(\overrightarrow u .\overrightarrow v \times \overrightarrow w\)
D
\(\overrightarrow u .\overrightarrow w \times \overrightarrow v\)
Open complete paper
8
2003 · Mathematics · Algebra · Vector Algebra
AIEEE 2003
\(\overrightarrow a \,,\overrightarrow b \,,\overrightarrow c\) are \(3\) vectors, such that

\(\overrightarrow a + \overrightarrow b + \overrightarrow c = 0\) , \(\left| {\overrightarrow a } \right| = 1\,\,\,\left| {\overrightarrow b } \right| = 2,\,\,\,\left| {\overrightarrow c } \right| = 3,\),

then \({\overrightarrow a .\overrightarrow b + \overrightarrow b .\overrightarrow c + \overrightarrow c .\overrightarrow a }\) is equal to :
A
\(1\)
B
\(0\)
C
\(-7\)
D
\(7\)
Open complete paper
9
2003 · Mathematics · Algebra · Vector Algebra
AIEEE 2003
A tetrahedron has vertices at \(O(0,0,0), A(1,2,1) B(2,1,3)\) and \(C(-1,1,2).\) Then the angle between the faces \(OAB\) and \(ABC\) will be :
A
\({90^ \circ }\)
B
\({\cos ^{ - 1}}\left( {{{19} \over {35}}} \right)\)
C
\({\cos ^{ - 1}}\left( {{{17} \over {31}}} \right)\)
D
\({30^ \circ }\)
Open complete paper
10
2003 · Mathematics · Algebra · Vector Algebra
AIEEE 2003
Consider points \(A, B, C\) and \(D\) with position

vectors \(7\widehat i - 4\widehat j + 7\widehat k,\widehat i - 6\widehat j + 10\widehat k, - \widehat i - 3\widehat j + 4\widehat k\) and \(5\widehat i - \widehat j + 5\widehat k\) respectively. Then \(ABCD\) is a :
A
parallelogram but not a rhombus
B
square
C
rhombus
D
None
Open complete paper
11
2003 · Mathematics · Algebra · Vector Algebra
AIEEE 2003
Let \(\overrightarrow u = \widehat i + \widehat j,\,\overrightarrow v = \widehat i - \widehat j\) and \(\overrightarrow w = \widehat i + 2\widehat j + 3\widehat k\,\,.\) If \(\widehat n\) is a unit vector such that \(\overrightarrow u .\widehat n = 0\) and \(\overrightarrow v .\widehat n = 0\,\,,\) then \(\left| {\overrightarrow w .\widehat n} \right|\) is equal to :
A
\(3\)
B
\(0\)
C
\(1\)
D
\(2\)
Open complete paper
12
2003 · Mathematics · Algebra · Vector Algebra
AIEEE 2003
The vectors \(\overrightarrow {AB} = 3\widehat i + 4\widehat k\,\,\& \,\,\overrightarrow {AC} = 5\widehat i - 2\widehat j + 4\widehat k\) are the sides of triangle \(ABC.\) The length of the median through \(A\) is :
A
\(\sqrt {288}\)
B
\(\sqrt {18}\)
C
\(\sqrt {72}\)
D
\(\sqrt {33}\)
Open complete paper
13
2003 · Mathematics · Algebra · Vector Algebra
AIEEE 2003
If \(\left| {\matrix{ a & {{a^2}} & {1 + {a^3}} \cr b & {{b^2}} & {1 + {b^3}} \cr c & {{c^2}} & {1 + {c^3}} \cr } } \right| = 0\) and vectors \(\left( {1,a,{a^2}} \right),\,\,\)

\(\left( {1,b,{b^2}} \right)\) and \(\left( {1,c,{c^2}} \right)\,\) are non-coplanar, then the product \(abc\) equals :
A
\(0\)
B
\(2\)
C
\(-1\)
D
\(1\)
Open complete paper
14
2003 · Mathematics · Algebra · Vector Algebra
AIEEE 2003
If \(\overrightarrow a \times \overrightarrow b = \overrightarrow b \times \overrightarrow c = \overrightarrow c \times \overrightarrow a\) then \(\overrightarrow a + \overrightarrow b + \overrightarrow c =\)
A
\(abc\)
B
\(-1\)
C
\(0\)
D
\(2\)
Open complete paper
15
2004 · Mathematics · Algebra · Vector Algebra
AIEEE 2004
If \({\overrightarrow a ,\overrightarrow b ,\overrightarrow c }\) are non-coplanar vectors and \(\lambda\) is a real number, then the vectors \({\overrightarrow a + 2\overrightarrow b + 3\overrightarrow c ,\,\,\lambda \overrightarrow b + 4\overrightarrow c }\) and \(\left( {2\lambda - 1} \right)\overrightarrow c\) are non coplanar for :
A
no value of \(\lambda\)
B
all except one value of \(\lambda\)
C
all except two values of \(\lambda\)
D
all values of \(\lambda\)
Open complete paper
16
2004 · Mathematics · Algebra · Vector Algebra
AIEEE 2004
Let \(\overrightarrow a ,\overrightarrow b\) and \(\overrightarrow c\) be three non-zero vectors such that no two of these are collinear. If the vector \(\overrightarrow a + 2\overrightarrow b\) is collinear with \(\overrightarrow c\) and \(\overrightarrow b + 3\overrightarrow c\) is collinear with \(\overrightarrow a\) (\(\lambda\) being some non-zero scalar) then \(\overrightarrow a + 2\overrightarrow b + 6\overrightarrow c\) equals to :
A
$\overrightarrow{0}$
B
\(\lambda \overrightarrow b\)
C
\(\lambda \overrightarrow c\)
D
\(\lambda \overrightarrow a\)
Open complete paper
17
2004 · Mathematics · Algebra · Vector Algebra
AIEEE 2004
Let \(\overrightarrow a ,\overrightarrow b\) and \(\overrightarrow c\) be non-zero vectors such that \(\left( {\overrightarrow a \times \overrightarrow b } \right) \times \overrightarrow c = {1 \over 3}\left| {\overrightarrow b } \right|\left| {\overrightarrow c } \right|\overrightarrow a \,\,.\) If \(\theta\) is the acute angle between the vectors \({\overrightarrow b }\) and \({\overrightarrow c },\) then \(sin\theta\) equals :
A
\({{2\sqrt 2 } \over 3}\)
B
\({{\sqrt 2 } \over 3}\)
C
\({2 \over 3}\)
D
\({1 \over 3}\)
Open complete paper
18
2004 · Mathematics · Algebra · Vector Algebra
AIEEE 2004
A particle acted on by constant forces \(4\widehat i + \widehat j - 3\widehat k\) and \(3\widehat i + \widehat j - \widehat k\) is displaced from the point \(\widehat i + 2\widehat j + 3\widehat k\) to the point \(\,5\widehat i + 4\widehat j + \widehat k.\) The total work done by the forces is :
A
\(50\) units
B
\(20\) units
C
\(30\) units
D
\(40\) units
Open complete paper
19
2004 · Mathematics · Algebra · Vector Algebra
AIEEE 2004
Let \(\overrightarrow u ,\overrightarrow v ,\overrightarrow w\) be such that \(\left| {\overrightarrow u } \right| = 1,\,\,\,\left| {\overrightarrow v } \right|2,\,\,\,\left| {\overrightarrow w } \right|3.\) If the projection \({\overrightarrow v }\) along \({\overrightarrow u }\) is equal to that of \({\overrightarrow w }\) along \({\overrightarrow u }\) and \({\overrightarrow v },\) \({\overrightarrow w }\) are perpendicular to each other then \(\left| {\overrightarrow u - \overrightarrow v + \overrightarrow w } \right|\) equals :
A
\(14\)
B
\({\sqrt {7} }\)
C
\({\sqrt {14} }\)
D
\(2\)
Open complete paper
20
2005 · Mathematics · Algebra · Vector Algebra
AIEEE 2005
If \(\overrightarrow a ,\overrightarrow b ,\overrightarrow c\) are non coplanar vectors and \(\lambda\) is a real number then

\(\left[ {\lambda \left( {\overrightarrow a + \overrightarrow b } \right)\,\,\,\,\,\,\,\,{\lambda ^2}\overrightarrow b \,\,\,\,\,\,\,\,\lambda \overrightarrow c } \right] = \left[ {\overrightarrow a \,\,\,\,\,\,\,\,\overrightarrow b + \overrightarrow c \,\,\,\,\,\,\,\,\overrightarrow b } \right]\) for :
A
exactly one value of \(\lambda\)
B
no value of \(\lambda\)
C
exactly three values of \(\lambda\)
D
exactly two values of \(\lambda\)
Open complete paper

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