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The angle between the vector vec(A) and ...

The angle between the vector `vec(A)` and `vec(B)` is `theta`. Find the value of triple product `vec(A).(vec(B)xxvec(A))`.

A

`BA^(2) cos theta`

B

`BA^(2) sin theta`

C

`BA^(2) sin theta cos theta`

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
D
We know that scalar product is cyclic,
`(vec(B)xxvec(A)).vec(A)= (vec(A)xxvec(B)).vec(A)`
`(vec(A)xxvec(A)).vec(B)= vec(0).vec(B)=0`
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