Vector Algebra PYQs - Last 10 Years
BITSAT / Mathematics / Algebra / 10 recent questions
MathematicsAlgebra2016-2025
Practice 10 BITSAT Mathematics questions from Vector Algebra. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
10
PYQs on Page
Mathematics / Algebra
2020-2025
Year Range
Based on indexed question metadata
8
Last 5 Years
2021-2025
10
Last 10 Years
2016-2025
Recent Year Trend
2020
2021
2022
2023
2024
2025Latest year
20203 max PYQs/year2025
Question Types
10PYQs
MCQ100%
Difficulty Mix
#1 Unknown10
8 in last 5 years10 in last 10 years
Last 10 Years Vector Algebra Questions
Showing 10 of 10 filtered questions.
1Vector Algebra
If $\mathbf{a , b , c}$ are vectors such that $|\mathbf{b}|=|\mathbf{c}|$ then $\{(\mathbf{a}+\mathbf{b}) \times(\mathbf{a}+\mathbf{c})\} \times(\mathbf{b} \times \mathbf{c}) \cdot(\mathbf{b}+\mathbf{c})$ is equal to
MCQ+3 / -12025
2Vector Algebra
The magnitude of projection of line joining ( 3,4 , $ 5) $ and $ (4,6,3) $ on the line joining $ (-1,2,4) $ and $ (1,0,5) $ is
MCQ+3 / -12024
3Vector Algebra
Let $ \mathbf{a}=\hat{\mathbf{i}}-\hat{\mathbf{k}}, \mathbf{b}=x \hat{\mathbf{i}}+\hat{\mathbf{j}}+(1-x) \hat{\mathbf{k}} $ and $ \mathbf{c}=y \hat{\mathbf{i}}+x \hat{\mathbf{j}}+(1+x-y) \hat{\mathbf{k}} $. Then, $ [\mathbf{a} \mathbf{b} \m...
MCQ+3 / -12024
4Vector Algebra
Let \(\mathbf{a}=2 \mathbf{i}+\mathbf{j}+\mathbf{k}, \mathbf{b}=\mathbf{i}+2 \mathbf{j}-\mathbf{k}\) and \(a\) unit vector \(\mathbf{c}\) be coplanar. If \(\mathbf{c}\) is perpendicular to \(\mathbf{a}\), then c equals to
MCQ+3 / -12023
5Vector Algebra
\(\widehat u\) and \(\widehat v\) are two non-collinear unit vectors such that \(\left| {{{\widehat u + \widehat v} \over 2} + \widehat u \times \widehat v} \right| = 1\). Then the value of \(|\widehat u \times \widehat v|\) is equal to
MCQ+3 / -12022
6Vector Algebra
For non-zero vectors a, b, c; |(a \(\times\) b) . c| = |a| |b| |c| holds if and only if
MCQ+3 / -12021
7Vector Algebra
Let a, b, c be vectors of lengths 3, 4, 5 respectively and a be perpendicular to (b + c), b to (c + a) and c to (a + b), then the value of (a + b + c) is
MCQ+3 / -12021
8Vector Algebra
The points with position vectors \(10\widehat i + 3\widehat j\), \(12\widehat i - 5\widehat j\) and \(a\widehat i + 11\widehat j\) are collinear, if a is
MCQ+3 / -12021
9Vector Algebra
If \(a = - \widehat i + \widehat j + \widehat k\) and \(b = 2\widehat i + \widehat k\), then find z component of a vector r, which is coplanar with a and b, r . b = 0 and r . a = 7.
MCQ+3 / -12020
10Vector Algebra
If a and b are two vectors such that | a | = 1, | b | = 4 a . b = 2. If c = (2a \(\times\) b) \(-\) 3b, then angle between b and c
MCQ+3 / -12020