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If `vec(a),vec(b),vec(c )` are unit vectors such that `vec(a)+vec(b)+vec(c )=0`, then the value of `vec(a).vec(b)+vec(b).vec(c )+vec(c ).vec(a)` is equal to

A

1

B

3

C

`-(3)/(2)`

D

`(3)/(2)`

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Verified by Experts

The correct Answer is:
C
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