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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

`A^2B`

B

zero

C

`A^2Bsintheta`

D

`A^2Bcostheta`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `vecA.(vecBxxvecA)=vecA.vecC`
Here `vecC=vecBxxvecA` which is perpendicular to both vector
`vecA and vecB` `becausevecA.vecC=0`
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