CUET Mathematics - If a = 2i - 2j + k, then which of the following statements are TRUE? (A) unit vector along a is 1/3(2i+2j-k) (B) |3a| = 9 (C) a is perpendicular to 2i+3j+2k (D) Direction Ratios of a are 2,-2,1 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 1

Algebra

Easy

core

(A), (B) and (D) only

(B), (C) and (D) only

(A) and (B) only

(B) and (C) only

✅ Correct Option: 2

Related questions:

16 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Angle between î and -ĵ is	(I) $\frac{\pi}{6}$
(B) Angle between 2î + k̂ and 10î + 5k̂ is	(II) $\frac{\pi}{4}$
(C) Angle between î and î + ĵ is	(III) 2π
(D) Angle between √3ĵ - k̂ and ĵ is	(IV) $\frac{\pi}{2}$

Choose the correct answer from the options given below:

26th May Shift 2

If $\hat{i}, \hat{j}, \hat{k}$ represents unit vectors along x, y, z axes respectively, then

Match List-I with List-II

LIST-I		LIST-II
A.	$\hat{i}.\hat{i}$	I. 0
B.	$\hat{i}.\hat{j}$	II. $\vec{0}$
C.	$\hat{i} \times \hat{j}$	III. 1
D.	$\hat{i} \times \hat{i}$	IV. $\hat{k}$

Choose the correct answer from the options given below:

14 May Shift 1

Let $\vec{a} = \hat{i} + 4\hat{j}$ , $\vec{b} = 4\hat{j} + \hat{k}$ and $\vec{c} = \hat{i} - 2\hat{k}$ . If $\vec{d}$ is a vector perpendicular to both $\vec{a}$ and $\vec{b}$ such that $\vec{c} \cdot \vec{d} = 16$ , then $|\vec{d}|$ is equal to

CUET Mathematics 2026 21st May Shift 1 PYQs

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