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Previous year question hub

Vector Algebra - Mechanics - Physics Previous Year Questions

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

9Papers
8Years
9Questions
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 10 100%

Question type distribution

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

Multiple Choices 10 100%

Subject weightage

Top subjects by unique question coverage.

Physics
9 Qs

Most asked topics

Top topics across the included previous year papers.

Mechanics
9 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Vector Algebra
9 Qs

Paper coverage

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

WB JEE 2026
2 Qs
WB JEE 2026
1 Qs
WB JEE 2025
1 Qs
WB JEE 2024
1 Qs
WB JEE 2020
1 Qs
WB JEE 2018
1 Qs
WB JEE 2017
1 Qs
WB JEE 2016
1 Qs
WB JEE 2008
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
WB JEE 202620261View paper
WB JEE 202620262View paper
WB JEE 202520251View paper
WB JEE 202420241View paper
WB JEE 202020201View paper
WB JEE 201820181View paper
WB JEE 201720171View paper
WB JEE 201620161View paper
WB JEE 200820081View paper

All Vector Algebra previous year questions

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

1
2016 · Physics · Mechanics · Vector Algebra
WB JEE 2016
The vectors \(\overrightarrow A\) and \(\overrightarrow B\) are such that | \(\overrightarrow A\) + \(\overrightarrow B\) | = | \(\overrightarrow A\) \(-\) \(\overrightarrow B\) |. The angle between the two vectors will be
A
0\(^\circ\)
B
60\(^\circ\)
C
90\(^\circ\)
D
45\(^\circ\)
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2
2017 · Physics · Mechanics · Vector Algebra
WB JEE 2017
Three vectors \(\overrightarrow A\) = a\(\widehat i\) + \(\widehat j\) + \(\widehat k\); \(\overrightarrow B\) = \(\widehat i\) + b\(\widehat j\) + \(\widehat k\) and \(\overrightarrow C\) = \(\widehat i\) + \(\widehat j\) + c\(\widehat k\) are mutually perpendicular (\(\widehat i\), \(\widehat j\) and k are unit vectors along X, Y and Z-axes respectively). The respective values of a, b and c are
A
0, 0, 0
B
\(- {1 \over 2}\), \(- {1 \over 2}\), \(- {1 \over 2}\)
C
1, \(-\)1, 1
D
\({1 \over 2}\), \({1 \over 2}\), \({1 \over 2}\)
Open complete paper
3
2018 · Physics · Mechanics · Vector Algebra
WB JEE 2018
In a triangle ABC, the sides AB and AC are represented by the vectors \(3\widehat i + \widehat j + \widehat k\) and \(\widehat i + 2\widehat j + \widehat k\), respectively. Calculate the angle \(\angle ABC\).
A
\({\cos ^{ - 1}}\sqrt {{5 \over {11}}}\)
B
\({\cos ^{ - 1}}\sqrt {{6 \over {11}}}\)
C
\(\left( {90^\circ - {{\cos }^{ - 1}}\sqrt {{5 \over {11}}} } \right)\)
D
\(\left( {180^\circ - {{\cos }^{ - 1}}\sqrt {{5 \over {11}}} } \right)\)
Open complete paper
4
2020 · Physics · Mechanics · Vector Algebra
WB JEE 2020
Consider the vectors \(A = \hat i + \hat j - \hat k\) ,\(B = 2\hat i - \hat j + \hat k\) and \(C = {1 \over {\sqrt 5 }}\left( {\hat i - 2\hat j + 2\hat k} \right)\) . What is the value of C. (A\(\times\) B) ?
A
1
B
0
C
3\({\sqrt 2 }\)
D
18\({\sqrt 5 }\)
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5
2024 · Physics · Mechanics · Vector Algebra
WB JEE 2024

Let \(\theta\) be the angle between two vectors \(\vec{A}\) and \(\vec{B}\). If \(\hat{a}_{\perp}\) is the unit vector perpendicular to \(\vec{A}\), then the direction of \(\overrightarrow{\mathrm{B}}-\mathrm{B} \sin \theta \hat{\mathrm{a}}_{\perp} \text { is }\)

A
along \(\vec{B}\)
B
perpendicular \(\vec{B}\)
C
along \(\vec{A}\)
D
perpendicular \(\vec{A}\)
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6
2025 · Physics · Mechanics · Vector Algebra
WB JEE 2025
Six vectors $\vec{a}, \vec{b}, \vec{c}, \vec{d}, \vec{e}$ and $\vec{f}$ have the magnitudes and directions indicated in the figure. Which of the following statements is true? WB JEE 2025 Physics - Vector Algebra Question 3 English
A
$\bar{b}+\bar{e}=\bar{f}$
B
$\bar{b}+\bar{c}=\bar{f}$
C
$\bar{d}+\bar{c}=\bar{f}$
D
$\bar{d}+\bar{e}=\bar{f}$
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7
2008 · Physics · Mechanics · Vector Algebra
WB JEE 2008

The angle subtended by the vector \(A = 4\widehat i + 3\widehat j + 12\widehat k\) with the x-axis is

A
\({\sin ^{ - 1}}\left( {{3 \over {13}}} \right)\)
B
\({\sin ^{ - 1}}\left( {{4 \over {13}}} \right)\)
C
\({\cos ^{ - 1}}\left( {{4 \over {13}}} \right)\)
D
\({\cos ^{ - 1}}\left( {{3 \over {13}}} \right)\)
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8
2026 · Physics · Mechanics · Vector Algebra
WB JEE 2026

Three vectors $\vec{a}, \vec{b}$ and $\vec{c}$ are such that $|\vec{a}|=1,|\vec{b}|=2$ and $|\vec{c}|=4$ along with $\vec{a}+\vec{b}+\vec{c}=0$ ．Then，the value of $4 \vec{a} \cdot \vec{b}+3 \vec{b} \cdot \vec{c}+3 \vec{c} \cdot \vec{a}$ will be

A

27

B

-26

C

-68 problem is wrong．

D

-34

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9
2026 · Physics · Mechanics · Vector Algebra
WB JEE 2026

If a vector $\vec{v}=3 \hat{i}$ is rotated in the $x-z$ plane by an angle $\theta$ with respect to $x$－axis in the clockwise direction，then for an observer at $+y$ axis the vector will be

A

$3 \sin \theta \hat{i}$

B

$3 \cos \theta \hat{i}$

C

$3 \sin \theta \hat{i}+3 \cos \theta \hat{k}$

D

$3 \cos \theta \hat{i}+3 \sin \theta \hat{k}$

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