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Three coplanar vectrors vec(A), vec(B) a...

Three coplanar vectrors `vec(A), vec(B)` and `vec(C)` have magnitudes `4, 3` and `2` respectively. If the angle any two vector is `120^(@)` then which of the following vector may be equal to `(3vec(A))/4+vec(B)/3+vec(C)/2`

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
As `|vec(B)/3|=|vec(C)/2|` so `vec(B)/3+vec(C)/2=-vec(A)/4` therefore `(3vec(A))/4+vec(B)/3+vec(C)/2=vec(A)/2`
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