CUET Mathematics - A vector of magnitude 9, which is perpendicular to both the vectors (4i - j + 8k) and (-j + k) is | PYQs + Solutions

CUET Mathematics 2025 29 May Shift 2

Algebra

Medium

core

$7\hat{i} - 4\hat{j} - 4\hat{k}$

$4\hat{i} - 7\hat{j} + 4\hat{k}$

$4\hat{i} - 4\hat{j} + 7\hat{k}$

$-4\hat{i} + 4\hat{j} - 7\hat{k}$

✅ Correct Option: 1

Related questions:

21 May Shift 2

The vector in the direction of the vector $2\hat{i} - \hat{j} - 2\hat{k}$ that has magnitude 9 units is:

15 May Shift 1

If $\vec{a} = 2\hat{i} - \hat{j} + 3\hat{k}$ and $\vec{b} = 2\hat{i} + 2\hat{j} + \hat{k}$ , then

Match List-I with List-II

List-I	List-II
(A) Projection of $\vec{a}$ on $\vec{b}$ is	(I) $-7\hat{i} + 4\hat{j} + 6\hat{k}$
(B) $\vec{a} imes \vec{b}$ is	(II) $\frac{1}{\sqrt{101}}(-7\hat{i} + 4\hat{j} + 6\hat{k})$
(C) unit vector along $\vec{a} + \vec{b}$ is	(III) $\frac{5}{3}$
(D) Unit vector perpendicular to both $\vec{a}$ & $\vec{b}$ is	(IV) $\frac{1}{\sqrt{33}}(4\hat{i} + \hat{j} + 4\hat{k})$

Choose the correct answer from the options given below:

22 May Shift 1

If $\vec{a}, \vec{b}$ and $\vec{c}$ be vectors such that $\vec{a} + \vec{b} + \vec{c} = \vec{0}$ , $|\vec{a}| = 3$ , $|\vec{b}| = 5$ and $|\vec{c}| = 7$ , then the angle between $\vec{a}$ and $\vec{b}$ is

CUET Mathematics 2025 29 May Shift 2 PYQs

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