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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.

2Papers
2Years
3Questions
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.

Not classified 3 100%

Question type distribution

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

Multiple Choices 3 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
3 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
3 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Vector Algebra
3 Qs

Paper coverage

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

IAT IISER 2025
1 Qs
IAT IISER 2022
2 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
IAT IISER 202520251View paper
IAT IISER 202220222View paper

All Vector Algebra previous year questions

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

1
2022 · Mathematics · Algebra · Vector Algebra
IAT IISER 2022
Consider the vectors $\vec{a}=\hat{\imath}+x \hat{\jmath}+2 \hat{k}, \vec{b}=\hat{\imath}+2 \hat{\jmath}+x \hat{k}, \vec{c}=2 \hat{\imath}+\hat{\jmath}+3 \hat{k}$. The values of $x$ for Which there is at least one nonzero vector perpendicular to the vectors $\vec{a}, \vec{b}$ and $\vec{c}$ are
A
0,2
B
$-2,2$
C
$7 / 2,0$
D
$4,-2$
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2
2022 · Mathematics · Algebra · Vector Algebra
IAT IISER 2022
Let $S$ be the set of all unit vectors in the $X Y$-plane. Then the set $S$ has
A
8 elements
B
2 elements
C
4 elements
D
Infinitely many elements
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3
2025 · Mathematics · Algebra · Vector Algebra
IAT IISER 2025

Let $\vec{a}$ and $\vec{b}$ be two vectors such that $|\vec{a}+\vec{b}|=15$ and

$$\vec{a} \times(3 \hat{i}-4 \hat{j}+5 \hat{k})=(3 \hat{i}-4 \hat{j}+5 \hat{k}) \times \vec{b}$$

What is the value of $|(\vec{a}+\vec{b}) \cdot(2 \hat{i}+3 \hat{j}+\hat{k})|$ ?

A

$\frac{3}{\sqrt{2}}$

B

\(0\)

C

$\sqrt{2}$

D

3

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