Vector Algebra PYQs - Last 5 Years
WB JEE / Mathematics / Algebra / 15 recent questions
MathematicsAlgebra2022-2026
Practice 15 WB JEE Mathematics questions from Vector Algebra. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
15
PYQs on Page
Mathematics / Algebra
2022-2026
Year Range
Based on indexed question metadata
15
Last 5 Years
2022-2026
15
Last 10 Years
2017-2026
Recent Year Trend
2022
2023
2024
2025
2026Latest year
20225 max PYQs/year2026
Question Types
15PYQs
MCQ93.3%
MCQM6.7%
Difficulty Mix
#1 Unknown15
15 in last 5 years15 in last 10 years
Last 5 Years Vector Algebra Questions
Showing 15 of 15 filtered questions.
1Vector Algebra
The position vectors of two adjacent sides $\overrightarrow{O A}$ and $\overrightarrow{O B}$ of a rectangle $O A C B$ are $\vec{a}$ and $\vec{b}$ respectively, where $O$ is the origin. If $16|\vec{a} \times \vec{b}|=3(|\vec{a}|+|\vec{b}|)^2...
MCQ+1 / -0.252026
2Vector Algebra
If $\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=\hat{i}-\hat{j}+\hat{k}, \vec{c}=\hat{i}+2 \hat{j}-\hat{k}$, then the value of $\left|\begin{array}{lll}\vec{a} \cdot \vec{a} & \vec{a} \cdot \vec{b} & \vec{a} \cdot \vec{c} \\ \vec{b} \cdot \vec...
MCQ+1 / -0.252026
3Vector Algebra
Let $\vec{r}=\sin x(\vec{a} \times \vec{b})+\cos y(\vec{b} \times \vec{c})+2(\vec{c} \times \vec{a})$ ，where $\vec{a}, \vec{b}$ and $\vec{c}$ are three non－coplanar vectors． It is given that $\vec{r}$ is perpendicular to $(\vec{a}+\vec{b}+\...
MCQM+2 / -02026
4Vector Algebra
Let $\vec{a}=(x, y, z)$ be the vector with $|\vec{a}|=2 \sqrt{3}$, which makes equal angles with the vector $\vec{b}=(y,-2 z, 3 x)$ and $\vec{c}=(2 z, 3 x,-y)$ and is perpendicular to the vector $\vec{d}=(1,-1,2)$. If the angle between $\ve...
MCQ+2 / -0.52026
5Vector Algebra
A vector given by $\vec{P}=f(t) \hat{i}+g(t)+\hat{k}$ moves in such a way that it is always parallel to the vector $\vec{Q}=-f^{\prime \prime}(t) \hat{i}+f^{\prime}(t) \hat{j}+\hat{k}$.
MCQ+1 / -0.252026
6Vector Algebra
Let $\vec{a}, \vec{b}, \vec{c}$ be unit vectors. Suppose $\vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c}=0$ and the angle between $\vec{b}$ and $\vec{c}$ is $\frac{\pi}{6}$. Then $\vec{a}$ is
MCQ+1 / -0.252025
7Vector Algebra
If $\vec{\alpha}=3 \vec{i}-\vec{k},|\vec{\beta}|=\sqrt{5}$ and $\vec{\alpha} \cdot \vec{\beta}=3$, then the area of the parallelogram for which $\vec{\alpha}$ and $\vec{\beta}$ are adjacent sides is
MCQ+1 / -0.252025
8Vector Algebra
If ' $\theta$ ' is the angle between two vectors $\vec{a}$ and $\vec{b}$ such that $|\vec{a}|=7,|\vec{b}|=1$ and $|\vec{a} \times \vec{b}|^2=k^2-(\vec{a} \cdot \vec{b})^2$, then the values of $k$ and $\theta$ are
MCQ+1 / -0.252025
9Vector Algebra
Let $\vec{a}, \vec{b}$ and $\vec{c}$ be vectors of equal magnitude such that the angle between $\vec{a}$ and $\vec{b}$ is $\alpha, \vec{b}$ and $\vec{c}$ is $\beta$ and $\vec{c}$ and $\vec{a}$ is $\gamma$. Then the minimum value of $\cos \a...
MCQ+1 / -0.252025
10Vector Algebra
If $\vec{a}, \vec{b}, \vec{c}$ are non-coplanar vectors and $\lambda$ is a real number then the vectors $\vec{a}+2 \vec{b}+3 \vec{c}, \lambda \vec{b}+4 \vec{c}$ and $(2 \lambda-1) \vec{c}$ are non-coplanar for
MCQ+1 / -0.252025
11Vector Algebra
A unit vector in XY-plane making an angle \(45^{\circ}\) with \(\hat{i}+\hat{j}\) and an angle \(60^{\circ}\) with \(3 \hat{i}-4 \hat{j}\) is
MCQ+1 / -0.252024
12Vector Algebra
If the volume of the parallelopiped with \(\overrightarrow a \times \overrightarrow b ,\overrightarrow b \times \overrightarrow c\) and \(\overrightarrow c \times \overrightarrow a\) as conterminous edges is 9 cu. units, then the volum...
MCQ+2 / -0.52023
13Vector Algebra
The value of 'a' for which the scalar triple product formed by the vectors \(\overrightarrow \alpha = \widehat i + a\widehat j + \widehat k,\overrightarrow \beta = \widehat j + a\widehat k\) and $$\overrightarrow \gamma = a\widehat i ...
MCQ+1 / -0.252023
14Vector Algebra
If \({\overrightarrow \alpha }\) is a unit vector, \(\overrightarrow \beta = \widehat i + \widehat j - \widehat k\), \(\overrightarrow \gamma = \widehat i + \widehat k\) then the maximum value of $$\left[ {\overrightarrow \alpha \over...
MCQ+2 / -0.52022
15Vector Algebra
If \(\overrightarrow a = \widehat i + \widehat j - \widehat k\), \(\overrightarrow b = \widehat i - \widehat j + \widehat k\) and \(\overrightarrow c\) is unit vector perpendicular to \(\overrightarrow a\) and coplanar with $$\overright...
MCQ+1 / -0.252022