Vector Algebra PYQs - Last 5 Years
JEE Main / Physics / Mechanics / 20 recent questions
PhysicsMechanics2022-2026
Practice 20 JEE Main Physics questions from Vector Algebra. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
20
PYQs on Page
Physics / Mechanics
2022-2026
Year Range
Based on indexed question metadata
20
Last 5 Years
2022-2026
20
Last 10 Years
2017-2026
Recent Year Trend
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Question Types
20PYQs
INTEGER50%
MCQ50%
Difficulty Mix
#1 Easy15
#2 Medium5
20 in last 5 years20 in last 10 years
Last 5 Years Vector Algebra Questions
Showing 20 of 20 filtered questions.
1Vector Algebra
The velocity of a particle is given as $\vec{v} = -x \hat{i} + 2y \hat{j} - z \hat{k}$ m/s. The magnitude of acceleration at point (1, 2, 4) is ________ m/s2.
MCQ+4 / -12026
2Vector Algebra
Two particles are located at equal distance from origin. The position vectors of those are represented by $\vec{A}=2 \hat{i}+3 n \hat{j}+2 \hat{k}$ and $\bar{B}=2 \hat{i}-2 \hat{j}+4 p \hat{k}$, respectively. If both the vectors are at righ...
INTEGER+4 / -12025
3Vector Algebra
If \(\vec{a}\) and \(\vec{b}\) makes an angle \(\cos ^{-1}\left(\frac{5}{9}\right)\) with each other, then \(|\vec{a}+\vec{b}|=\sqrt{2}|\vec{a}-\vec{b}|\) for \(|\vec{a}|=n|\vec{b}|\) The integer value of \(\mathrm{n}\) is _________.
INTEGER+4 / -12024
4Vector Algebra
The resultant of two vectors \(\vec{A}\) and \(\vec{B}\) is perpendicular to \(\vec{A}\) and its magnitude is half that of \(\vec{B}\). The angle between vectors \(\vec{A}\) and \(\vec{B}\) is _________\(^\circ\).
INTEGER+4 / -12024
5Vector Algebra
Three vectors \(\overrightarrow{\mathrm{OP}}, \overrightarrow{\mathrm{OQ}}\) and \(\overrightarrow{\mathrm{OR}}\) each of magnitude \(\mathrm{A}\) are acting as shown in figure. The resultant of the three vectors is \(\mathrm{A} \sqrt{x}\)....
INTEGER+4 / -12024
6Vector Algebra
For three vectors \(\vec{A}=(-x \hat{i}-6 \hat{j}-2 \hat{k}), \vec{B}=(-\hat{i}+4 \hat{j}+3 \hat{k})\) and \(\vec{C}=(-8 \hat{i}-\hat{j}+3 \hat{k})\), if \(\vec{A} \cdot(\vec{B} \times \vec{C})=0\), then value of \(x\) is ________.
INTEGER+4 / -12024
7Vector Algebra
The angle between vector \(\vec{Q}\) and the resultant of \((2 \vec{Q}+2 \vec{P})\) and \((2 \vec{Q}-2 \vec{P})\) is :
MCQ+4 / -12024
8Vector Algebra
If two vectors \(\vec{A}\) and \(\vec{B}\) having equal magnitude \(R\) are inclined at angle \(\theta\), then
MCQ+4 / -12024
9Vector Algebra
A vector has magnitude same as that of \(\vec{A}=3 \hat{i}+4 \hat{j}\) and is parallel to \(\vec{B}=4 \hat{i}+3 \hat{j}\). The \(x\) and \(y\) components of this vector in first quadrant are \(x\) and 3 respectively where \(x=\) _________.
INTEGER+4 / -12024
10Vector Algebra
Two forces having magnitude \(A\) and \(\frac{A}{2}\) are perpendicular to each other. The magnitude of their resultant is:
MCQ+4 / -12023
11Vector Algebra
If \(\overrightarrow P = 3\widehat i + \sqrt 3 \widehat j + 2\widehat k\) and \(\overrightarrow Q = 4\widehat i + \sqrt 3 \widehat j + 2.5\widehat k\) then, the unit vector in the direction of $$\overrightarrow P \times \overrightarrow Q...
INTEGER+4 / -12023
12Vector Algebra
Vectors \(a\widehat i + b\widehat j + \widehat k\) and \(2\widehat i - 3\widehat j + 4\widehat k\) are perpendicular to each other when \(3a + 2b = 7\), the ratio of \(a\) to \(b\) is \({x \over 2}\). The value of \(x\) is ____________.
INTEGER+4 / -12023
13Vector Algebra
If two vectors \(\overrightarrow P = \widehat i + 2m\widehat j + m\widehat k\) and \(\overrightarrow Q = 4\widehat i - 2\widehat j + m\widehat k\) are perpendicular to each other. Then, the value of m will be :
MCQ+4 / -12023
14Vector Algebra
A vector in $x-y$ plane makes an angle of $30^{\circ}$ with $y$-axis. The magnitude of $\mathrm{y}$-component of vector is $2 \sqrt{3}$. The magnitude of $x$-component of the vector will be :
MCQ+4 / -12023
15Vector Algebra
When vector \(\vec{A}=2 \hat{i}+3 \hat{j}+2 \hat{k}\) is subtracted from vector \(\overrightarrow{\mathrm{B}}\), it gives a vector
equal to \(2 \hat{j}\). Then the magnitude of vector \(\overrightarrow{\mathrm{B}}\) will be :
equal to \(2 \hat{j}\). Then the magnitude of vector \(\overrightarrow{\mathrm{B}}\) will be :
MCQ+4 / -12023
16Vector Algebra
Two vectors \(\overrightarrow A\) and \(\overrightarrow B\) have equal magnitudes. If magnitude of \(\overrightarrow A\) + \(\overrightarrow B\) is equal to two times the magnitude of \(\overrightarrow A\) \(-\) \(\overrightarrow B\),...
MCQ+4 / -12022
17Vector Algebra
If the projection of \(2 \hat{i}+4 \hat{j}-2 \hat{k}\) on \(\hat{i}+2 \hat{j}+\alpha \hat{k}\) is zero. Then, the value of \(\alpha\) will be ___________.
INTEGER+4 / -12022
18Vector Algebra
If \(\vec{A}=(2 \hat{i}+3 \hat{j}-\hat{k})\, \mathrm{m}\) and \(\vec{B}=(\hat{i}+2 \hat{j}+2 \hat{k}) \,\mathrm{m}\). The magnitude of component of vector \(\vec{A}\) along vector \(\vec{B}\) will be ____________ \(\mathrm{m}\).
INTEGER+4 / -12022
19Vector Algebra
Which of the following relations is true for two unit vector \(\widehat A\) and \(\widehat B\) making an angle \(\theta\) to each other?
MCQ+4 / -12022
20Vector Algebra
\(\overrightarrow A\) is a vector quantity such that \(|\overrightarrow A |\) = non-zero constant. Which of the following expression is true for \(\overrightarrow A\) ?
MCQ+4 / -12022