Kinematics Question 448

Question: $ \vec{A}-\vec{B} $ and $ \vec{A} $ are parallel. If $ |\vec{A}\times \vec{B}|=|\vec{A}.\vec{B}|, $ then angle between $ \vec{A} $ and $ \vec{B} $ will be

Options:

A) $ 30{}^\circ $

B) $ 45{}^\circ $

C) $ 60{}^\circ $

D) $ 90{}^\circ $

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Answer:

Correct Answer: B

Solution:

[b] $ | \overrightarrow{A}\times \overrightarrow{B} |=\overrightarrow{A}.\overrightarrow{B} $

$ \Rightarrow $ $ AB\sin \theta =AB\cos \theta $

$ \Rightarrow $ $ \tan \theta =1 $

$ \therefore $ $ \theta =45^{o} $



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