Question

The angle between the vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is $\theta$. The value of the triple product $\overrightarrow{A}$.$(\overrightarrow{B}\times \overrightarrow{A})$ is

• A. $A^{2}B$
• B. zero
• C. $A^{2}B\sin \theta$
• D. $A^{2}B\cos \theta$

Answer 1

The correct option is B zero

$\overrightarrow{B}\times \overrightarrow{A}$ will give a vector in the direction perpendicular to both $\overrightarrow{A}$ and $\overrightarrow{B}$
$\Rightarrow \overrightarrow{A}.(\overrightarrow{B}\times \overrightarrow{A})=0$