Vector Algebra is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.
This article gives you a full set of BITSAT PYQs for Vector Algebra with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Vector Algebra questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
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BITSAT PYQs for Vector Algebra with Solutions
1.
If $2 i + j - k$ and $i -4 j +\lambda k$ are perpendicular to each other, then $\lambda$ is equal to:- -3
- -2
- -1
- 0
2.
The position of a projectile launched from the origin at $t=0$ is given by $\hat{r}=\left(40 \hat{i}+50\hat{ j}\right) m$ at $t=2 s$. If the projectile was launched at an angle $\theta$ from the horizontal, then $\theta$ is $\left(\right.$ take $\left. g=10\, ms ^{-2}\right)$- $\tan ^{-1} \frac{2}{3}$
- $\tan ^{-1} \frac{3}{2}$
- $\tan ^{-1} \frac{7}{4}$
- $\tan ^{-1} \frac{4}{5}$
3.
Find the angle between the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \).- \( 45^\circ \)
- \( 60^\circ \)
- \( 90^\circ \)
- \( 120^\circ \)
4.
What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?- 5
- 4
- 7
- 10
5.
Find the angle between the vectors \( \mathbf{a} = (2, -1, 3) \) and \( \mathbf{b} = (1, 4, -2) \).- \( 45^\circ \)
- \( 60^\circ \)
- \( 90^\circ \)
- \( 120^\circ \)
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