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

The angle between the vectors `vec(A)` and `vec(B)` is `theta`. The value of triple Product `vec(A).vec(B)xxvec(A)` is :

A

`A^(2)Bcostheta`

B

`A^(2)Bsintheta`

C

`A^(2)B`

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(B)xxvec(A)` has magnitude BA sin `theta` and its direction is `bot` to both `vec(B)` and `vec(A)`.
`:. Vec(A).(vec(B)xxvec(A))=0`
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