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Vector Algebra PYQs - Last 5 Years

BITSAT / Mathematics / Algebra / 8 recent questions

MathematicsAlgebra2021-2025

Practice 8 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.

8
PYQs on Page
Mathematics / Algebra
2021-2025
Year Range
Based on indexed question metadata
8
Last 5 Years
2021-2025
8
Last 10 Years
2016-2025

Recent Year Trend

2021
2022
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2025Latest year
20213 max PYQs/year2025

Question Types

8PYQs
MCQ100%

Difficulty Mix

#1 Unknown8
8 in last 5 years8 in last 10 years

Last 5 Years Vector Algebra Questions

Showing 8 of 8 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