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Question

Question: Given :\(\overrightarrow{R} = \overrightarrow{A} + \overrightarrow{B}\) and R = A = B. The angle bet...

Given :R=A+B\overrightarrow{R} = \overrightarrow{A} + \overrightarrow{B} and R = A = B. The angle between A\overrightarrow{A} and B\overrightarrow{B} is–

A

60060^{0}

B

90090^{0}

C

1200120^{0}

D

1800180^{0}

Answer

1200120^{0}

Explanation

Solution

R = A2+B2+2ABcosθ\sqrt{A^{2} + B^{2} + 2AB\cos\theta}

given R = A = B

A2 = A2 + A2 + 2A (1) cos q

cos = –1/2

θ=1200\theta = 120^{0}s