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Vector product of three vectors is given...

Vector product of three vectors is given by `vec(A)xx(vec(B)xxvec(C))=vec(B)(vec(A).vec(C))-vec(C)(vec(A).vec(B))`
The plane of vector `vec(A)xx(vec(A)xxvec(B))` lies in the plane of

A

`vec(A)`

B

`vec(B)`

C

`vec(A)xxvec(B)`

D

`vec(A)` & `vec(B)`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(A)xx(vec(A)xxvec(B))=vec(A)(vec(A).vec(B))-vec(B)(vec(A).vec(A))rArr` this vector lies in plane of `vec(A)` & `vec(B)`
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