CUET Mathematics - If a, b and c are three vectors such that a+b+c=0, where a and b are unit vectors and |c|=2, then the angle between the vectors b and c is : | PYQs + Solutions

CUET Mathematics

Algebra

Medium

core

$60^{\circ}$

$90^{\circ}$

$120^{\circ}$

$180^{\circ}$

✅ Correct Option: 4

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If $\hat{a}, \hat{b}$ and $\hat{c}$ are three unit vectors and $\hat{a} + \hat{b} + \hat{c} = \vec{0}$ , then the angle between $\hat{a}$ and $(-\hat{b})$ is

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A vector of magnitude 8 units in the direction perpendicular to both the vectors $\hat{i} + \hat{j} + \hat{k}$ and $2\hat{i} + \hat{k}$ is

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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) $\frac{\pi}{2}$

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