CUET Mathematics - Let be the angle between two vectors a and b. Then match List-I with List-II Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Algebra

Medium

core

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

(A) - (I), (B) - (IV), (C) - (II), (D) - (III)

(A) - (IV), (B) - (I), (C) - (III), (D) - (II)

(A) - (I), (B) - (IV), (C) - (III), (D) - (II)

✅ Correct Option: 1

Related questions:

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If $\vec{a} = 2\hat{i} - \hat{k}$ , $\vec{b} = 2\hat{i} - 3\hat{j} + \hat{k}$ and $\vec{c} = -\hat{i} + \hat{k}$ are three vectors, then the area (in sq. units) of the parallelogram whose diagonals are $(\vec{a} + \vec{c})$ and $(\vec{a} + \vec{c})$ is

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Let $\vec{a} = \hat{i} + 2\hat{j} + 3\hat{k}, \vec{b} = -\hat{i} + 2\hat{j} + \hat{k}, \vec{c} = 3\hat{i} + \hat{j}$ be three vectors. If $(\vec{a} + \lambda\vec{b})$ is perpendicular to $\vec{c}$ , then the value of $\lambda$ is

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Match List-I with List-II

List-I	List-II
(A) If vector $\vec{a}$ and $\vec{b}$ are such that $\vec{a} = \lambda \vec{b}$ and $\|\vec{a}\| = \|\vec{b}\|$ , then	(I) $\vec{a}$ and $\vec{b}$ are orthogonal
(B) Projection vector of $\vec{a}$ on $\vec{b}$	(II) $[0, 12]$
(C) $\vec{a}$ and $\vec{b}$ are non-zero vectors such that $\|\vec{a} + \vec{b}\| = \|\vec{a} - \vec{b}\|$ , then	(III) $\vec{a} = \pm \vec{b}$
(D) If $\|\vec{a}\| = 4, -3 \le \lambda \le 2$ , then the range of $\|\lambda \vec{a}\|$	(IV) $(\dfrac{\vec{a} \cdot \vec{b}}{\|\vec{b}\|^2}) \vec{b}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 2 PYQs

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