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

CUET Mathematics 2025 15 May Shift 1

Algebra

Medium

core

$3\vec{a} + 4\vec{b}$

$-3\vec{a} + 4\vec{b}$

$3\vec{a} - 4\vec{b}$

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

✅ Correct Option: 1

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:

3 June Shift 1

The projection of the vector $2\hat{i} - \hat{j} + 3\hat{k}$ on the vector $3\hat{i} + 2\hat{j} + 6\hat{k}$ is

14 May Shift 1

Let $\vec{a} = \hat{i} + \hat{j} + \hat{k}$ , $\vec{b} = 4\hat{i} + \hat{k}$ 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 2025 15 May Shift 1 PYQs

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