Kinematics Question 21

Question: What is the angle between $ \overrightarrow{P} $ and the resultant of $ (\overrightarrow{P}+\overrightarrow{Q}) $ and $ (\overrightarrow{P}-\overrightarrow{Q}) $

Options:

A) Zero

B) $ {{\tan }^{-1}}(P/Q) $

C) $ {{\tan }^{-1}}(Q/P) $

D) $ {{\tan }^{-1}}(P-Q)/(P+Q) $

Show Answer

Answer:

Correct Answer: A

Solution:

Resultant $ \vec{R}=\vec{P}+\vec{Q}+\vec{P}-\vec{Q}=2\vec{P} $

The angle between $ \vec{P} $ and $ 2\vec{P} $ is zero.



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