Q. Angle between $\overrightarrow{A}$ and $\overrightarrow{B}$ is $\theta$. What is the value of $\overrightarrow{A}.(\overrightarrow{B} \times \overrightarrow{A})$?
A) $A^{2}B\ \cos\theta$
B) $A^{2}B\ sin\theta cos\theta$
C) $A^{2}B\ sin\theta$
D) zero
Explanation
(d) $\overrightarrow{A} \bullet \left( \overrightarrow{B} \times \overrightarrow{A} \right) = \left( \overrightarrow{A} \times \overrightarrow{A} \right) \bullet \overrightarrow{B} = \left( \overrightarrow{0} \right) \bullet \overrightarrow{B} = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.