CUET Mathematics - If a, b and c are three vectors such that a + b + c = 0, |a| = 7, |b| = 3 and |c| = 5, then angle between b and c is | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 1

Algebra

Medium

core

$\frac{2\pi}{3}$

$\frac{\pi}{6}$

$\frac{5\pi}{6}$

$\frac{\pi}{3}$

✅ Correct Option: 4

Related questions:

14 May Shift 1

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

21 May Shift 2

If $\vec{a} = 2\hat{i} - \hat{k}$ , $\vec{b} = 2\hat{i} - 3\hat{j} + \hat{k}$ and $\vec{c} = -\hat{i} + \hat{k}$ are three vectors, then the area (in sq. units) of the parallelogram whose diagonals are $(\vec{a} + \vec{c})$ and $(\vec{a} + \vec{c})$ is

3 June Shift 2

Let $\theta$ be the angle between two vectors $\vec{a}$ and $\vec{b}$ . Then match List-I with List-II

List-I	List-II
(A) $\sin \theta$	(I) $\dfrac{\vec{a} \cdot \vec{b}}{\|\vec{a}\|\|\vec{b}\|}$
(B) $\cos \theta$	(II) $\|\vec{a} \times \vec{b}\|$
(C) Area of the parallelogram with adjacent sides represented by $\vec{a}$ and $\vec{b}$	(III) $\dfrac{\vec{a} \cdot \vec{b}}{\|\vec{b}\|}$
(D) Projection of $\vec{a}$ on $\vec{b}$	(IV) $\dfrac{\|\vec{a} \times \vec{b}\|}{\|\vec{a}\|\|\vec{b}\|}$

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CUET Mathematics 2025 15 May Shift 1 PYQs

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