Kinematics Question 18

Question: If vectors P, Q and R have magnitude 5, 12 and 13 unit and $ \overrightarrow{P}+\overrightarrow{Q}=\overrightarrow{R}, $ the angle between Q and R it’s [CEET 1998]

Options:

A) $ {{\cos }^{-1}}\frac{5}{12} $

B) $ {{\cos }^{-1}}\frac{5}{13} $

C) $ {{\cos }^{-1}}\frac{12}{13} $

D) $ {{\cos }^{-1}}\frac{7}{13} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ |\vec{P}|\ =\ 5 $ , $ |\vec{Q}|\ =12 $ and $ |\vec{R}|\ =13 $

$ \cos \theta =\frac{Q}{R}=\frac{12}{13} $ $ \theta ={{\cos }^{-1}}( \frac{12}{13} ) $



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