Question

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

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

Answer 1

The correct option is D Zero

From the property of vector product, $\overrightarrow{B}\times \overrightarrow{A}$ must be perpendicular to the vector $\overrightarrow{A}$ and $\overrightarrow{B}$.

So, $\overrightarrow{A}\cdot (\overrightarrow{B}\times \overrightarrow{A})$ will be zero.

Final answer (b)