Question

If the angle between the vectors $A$ and $B$ is $0$, then the value of the product $(B\times A)·A$ is equal to

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

Answer 1

The correct option is D

$zero$

Explanation for Correct Option:

Let, $B\times A=K$

Since, $B\times A$ is a vector that is perpendicular to both $B$& $A$
$(B\times A)·A=K·A$

Any two perpendicular vectors have $0$ as their dot product.

Since, $K$ perpendicular to A so the dot product will be $0$

So, $(B\times A)·A=0$

Hence Option (4) is Correct.