Kinematics Question 34
Question: If $ |\vec{A}+\vec{B}|=|\vec{A}|+|\vec{B}| $ , then angle between $ \vec{A} $ and $ \vec{B} $ will be [CBSE PMT 2001]
Options:
A) $ 90{}^\circ $
B) $ 120{}^\circ $
C) $ 0{}^\circ $
D) $ 60{}^\circ $
Correct Answer: C Resultant of two vectors $ \overrightarrow{A} $ and $ \overrightarrow{B} $ can be given by $ \overrightarrow{R}=\overrightarrow{A}+\overrightarrow{B} $ $ |\overrightarrow{R}|=|\overrightarrow{A}+\overrightarrow{B}|=\sqrt{A^{2}+B^{2}+2AB\cos \theta } $ If $ \theta =0{}^\circ $ then $ |\overrightarrow{R}|=A+B $ $ =|\overrightarrow{A}|+|\overrightarrow{B}| $
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