CUET Mathematics - Match List-I with List-II | List-I | List-II | |---|---| | Mathematical Statement | Value | | (A) i * (j x k) | (I) -k | | (B) j * (i x k) | (II) 1 | | (C) i x (j x k) | (III) -1 | | (D) j x i | (IV) 0 | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Algebra

Medium

core

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

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

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

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

✅ Correct Option: 1

Related questions:

14 May Shift 1

If $\hat{i},\hat{j}$ and $\hat{k}$ are unit vectors along co-ordinates axes OX, OY and OZ respectively, then which of the following is/are true?

(A) $\hat{i} \times \hat{i} = \vec{0}$

(B) $\hat{i} \times \hat{k} = \hat{j}$

(D) $\hat{i} \cdot \hat{j} = 0$

Choose the correct answer from the options given below:

27 May Shift 1

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:

16 May Shift 1

Given that $\vec{a} = -3\hat{i} - 6\hat{j} + 4\hat{k}$ , $\vec{b} = 9\hat{i} - 4\hat{j} - 12\hat{k}$ . If $\vec{a} imes \vec{b} = \vec{0}$ , then the value of λ is

CUET Mathematics 2025 19 May Shift 1 PYQs

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