CUET Mathematics - Let a = 2i - j k - 4j + k and b = i + 2k. If is a vector perpendicular to both a and b such that c * a = 14, then || is equal to | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 1

Algebra

Hard

core

$\sqrt{69}$

$2\sqrt{69}$

$3\sqrt{69}$

$4\sqrt{69}$

✅ Correct Option: 2

Related questions:

3 June Shift 2

If $\vec{a}$ is any vector, then $|\vec{a} \times \hat{i}|^2 + |\vec{a} \times \hat{j}|^2 + |\vec{a} \times \hat{k}|^2$ is equal to

13 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Angle between $\vec{i} - \vec{j}$ and $\vec{j} + \vec{k}$	(I) 0
(B) Angle between $2\vec{j} - \vec{k}$ and $\vec{j} + 2\vec{k}$	(II) $\frac{2\pi}{3}$
(C) Angle between $\vec{i} + 2\vec{j}$ and $5\vec{i} + 10\vec{j}$	(III) $\frac{\pi}{6}$
(D) Angle between $\sqrt{3}\vec{i} + \vec{j}$ and $\vec{i}$	(IV) $\frac{\pi}{2}$

Choose the correct answer from the options given below:

CUET Mathematics 2024 Slot 1

Which of the following cannot be the direction ratios of the straight line $\frac{x-3}{2}=\frac{2-y}{3}=\frac{z+4}{-1}$ ?

CUET Mathematics 2025 30 May Shift 1 PYQs