CUET Mathematics - The position vector of a point which divides the line joining the points with position vectors (i - 2j) and (2i + k) externally in the ratio 2:1, is | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 1

Algebra

Medium

core

$3\hat{i} + 4\hat{k}$

$-3\hat{i} + 4\hat{k}$

$3\hat{i} - 4\hat{k}$

$\frac{5}{3}\vec{a}$

✅ Correct Option: 1

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The projection of the vector $5\hat{i} + \hat{j} - 3\hat{k}$ on the vector $\hat{i} + 2\hat{j} - 3\hat{k}$ is

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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 2025 15 May Shift 1 PYQs