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Three vector vec(A),vec(B), vec(C ) sati...

Three vector `vec(A)`,`vec(B)`, `vec(C )` satisfy the relation `vec(A)*vec(B)=0`and `vec(A).vec(C )=0`. The vector `vec(A)` is parallel to

A

`vec(B)`

B

`vec(C)`

C

`vec(B). vec(C)`

D

`vec(B)xxvec(C)`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(A).vec(B)=0rArr vec(A)bot vec(B)` & `vec(A).vec(C)=0rArrvec(A) bot vec(C)`
But `vec(B)xxvec(C)` is perpendicular to both `vec(B)` and `vec(C)` so `vec(A)` is parallel to `vec(B)xxvec(C)`
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