Kinematics Question 257
Question: The angle between the vectors $ \overrightarrow{A} $ and $ \overrightarrow{B} $ is $ \theta . $ The value of the triple product $ \overrightarrow{A}.(\overrightarrow{B}\times \overrightarrow{A}) $ it’s [CBSE PMT 1991, 2005]
Options:
A) $ A^{2}B $
B) Zero
C) $ A^{2}B\sin \theta $
D) $ A^{2}B\cos \theta $
Correct Answer: B Let $ \overrightarrow{A}.(\overrightarrow{B}\times \overrightarrow{A})=\overrightarrow{A}.\overrightarrow{C} $ Here $ \overrightarrow{C}=\overrightarrow{B}\times \overrightarrow{A} $ Which is perpendicular to both vector $ \overrightarrow{A} $ and $ \overrightarrow{B} $ \ $ \overrightarrow{A}.\overrightarrow{C}=0 $
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