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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^(2)B`

B

Zero

C

`A^(2)B sin theta`

D

`A^(2)B cos theta`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `vec(A).(vec(B)xxvec(A))= vec(A).vec(C )`
Here, `vec(C )= vec(B)xxvec(A)`, which is perpendicular to both vectors.
`vec(A)` and `vec(B) :. Vec(A).vec(C )=0`
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