Kinematics Question 22

Question: The resultant of $ \overrightarrow{P} $ and $ \overrightarrow{Q} $ perpendicular to $ \overrightarrow{P} $ . What is the angle between $ \overrightarrow{P} $ and $ \overrightarrow{Q} $

Options:

A) $ {{\cos }^{-1}}(P/Q) $

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

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

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

Show Answer

Answer:

Correct Answer: B

Solution:

therefore $ \tan 90{}^\circ =\frac{Q\sin \theta }{P+Q\cos \theta } $

therefore $ P+Q\cos \theta =0 $

$ \cos \theta =\frac{-P}{Q} $ $ \theta ={{\cos }^{-1}}( \frac{-P}{Q} ) $



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