CUET Mathematics - If a and b are two non-zero vectors such that |a * b| = |a x b|, then the angle between a and b is | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Algebra

Medium

core

$\frac{\pi}{2}$

$\frac{\pi}{4}$

$\frac{\pi}{6}$

$\frac{\pi}{3}$

✅ Correct Option: 2

Related questions:

CUET Mathematics 2024 Slot 1

If $(\vec{a}-\vec{b}) \cdot(\vec{a}+\vec{b})=27$ and $|\vec{a}|=2|\vec{b}|$ , then $|\vec{b}|$ is :

13 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Angle between $\vec{i} - \vec{j}$ and $\vec{j} + \vec{k}$	(I) 0
(B) Angle between $2\vec{j} - \vec{k}$ and $\vec{j} + 2\vec{k}$	(II) $\frac{2\pi}{3}$
(C) Angle between $\vec{i} + 2\vec{j}$ and $5\vec{i} + 10\vec{j}$	(III) $\frac{\pi}{6}$
(D) Angle between $\sqrt{3}\vec{i} + \vec{j}$ and $\vec{i}$	(IV) $\frac{\pi}{2}$

Choose the correct answer from the options given below:

14 May Shift 2

Let $\vec{a} = \hat{i} + \hat{j}$ , $\vec{b} = \hat{i} - \hat{j}$ and $\vec{c} = \hat{i} + \hat{j} + \hat{k}$ . If $\vec{m}$ is a unit vector perpendicular to both the vectors $\vec{b}$ and $\vec{c}$ , then $|\vec{a}.\vec{m}|$ is equal to

CUET Mathematics 2025 21 May Shift 2 PYQs

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