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Answer any three questions if hat(a), ...

Answer any three questions
if `hat(a), hat(b) and hat(c )` are unit vectors such that `hat(a) + hat(b) + hat( c) =0`, then find the value of `hat(a) .hat(b) + hat(b) .hat( c) + hat(c ) .hat(a)`.

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The correct Answer is:
`hat(a) .hat(b) + hat(b) .hat(c ) +hat(c ) .hat(a) = - (3)/(2)`
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