CUET Mathematics - Which of the following statements is/are TRUE ? A. The sine of the angle between the vectors a=i+3j-2k and b=-2i+2j-4k is 2sqrt(7) B. The area of the parallelogram PQRS is 1/2|PRxQS| C. If a=5i-4j+3k then |axi|^2+|axj|^2+|axk|^2=100 D. Vectors perpendicular to the vectors a=2i-j+2k and b=-i+4j-3k are given by (-i+2j+2k) where is a scalar. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 29th May Shift 2

Algebra

Hard

core

A and C only

A and D only

B and C only

A, B and C only

✅ Correct Option: 4

Related questions:

7 Aug Shift 2

Match List - I with List - II.

	List - I (Two given vector)		List - II (Projection of $\vec{a}$ on $\vec{b}$ )
(A)	$\vec{a} = \hat{i} - \hat{j}$ , $\vec{b} = \hat{i} + \hat{j}$	(I)	$\frac{2}{\sqrt{5}}$
(B)	$\vec{a} = \hat{i} + \hat{j}$ , $\vec{b} = 2\hat{i} - \hat{k}$	(II)	0
(C)	$\vec{a} = \hat{j} + \hat{k}$ , $\vec{b} = \hat{i} + \hat{k}$	(III)	$\sqrt{2}$
(D)	$\vec{a} = 2\hat{i} + 3\hat{j}$ , $\vec{b} = \hat{i} - \hat{k}$	(IV)	$\frac{1}{\sqrt{2}}$

Choose the correct answer from the options given below :

7 Aug Shift 2

The unit vector in the direction of the sum of vectors $\vec{a} = 2\hat{i} + 2\hat{j} - 5\hat{k}$ and $\vec{b} = 2\hat{i} + \hat{j} + 3\hat{k}$ is :

3 June Shift 1

Let $\vec{a} = \hat{i} + 4\hat{j} + 2\hat{k}$ , $\vec{b} = 3\hat{i} - 2\hat{j} + 7\hat{k}$ and $\vec{c} = 2\hat{i} + \hat{j} + 4\hat{k}$ . A vector $\vec{d}$ which is perpendicular to both $\vec{a}$ and $\vec{b}$ , and $\vec{c} \cdot \vec{d} = 14$ , is:

CUET Mathematics 2026 29th May Shift 2 PYQs

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