Value of sum of two vectors overrightarrow A and overrightarrow B with θ as angle between them is

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3-1.Vectors

easy

The value of the sum of two vectors $\overrightarrow A $ and $\overrightarrow B $ with $\theta $ as the angle between them is

A

$\sqrt {{A^2} + {B^2} + 2AB\cos \theta } $

B

$\sqrt {{A^2} - {B^2} + 2AB\cos \theta } $

C

$\sqrt {{A^2} + {B^2} - 2AB\sin \theta } $

D

$\sqrt {{A^2} + {B^2} + 2AB\sin \theta } $

Solution

As we know,

Resultant of two vectors $\vec{A}$ and $\vec{B}$ is

$R =\sqrt{ A ^2+ B ^2+2 AB \cos \theta}$

Standard 11

Physics

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