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For a non zero vector vec(A) . If the ...

For a non zero vector `vec(A)` . If the equations `vec(A).vec(B) = vec(A).vec(C)` and `vec(A) xx vec(B) = vec(A) xx vec(C)` hold simultaneously, then

A

`vec(A)` is perpendicular to `vec(B) - vec(C)`

B

`vec(A) = vec(B)`

C

`vec(B) = vec(C)`

D

`vec(C) = vec(A)`

Text Solution

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The correct Answer is:
C
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