Question

If à ,b,c are unit vectors with a+b+c=0 then,a.b+b.c+c.a equal to​

Answer 1

answer-A.(A+B+C)=0

A.B+A.C=-1 (Since magnitude of A is 1)

Similarly

B.C+A.C=-1

A.B+B.C=-1

Adding above equations , we get

2(A.B+B.C+C.A)=-3

implies (A.B+B.C+C.A) = -1.5

Answer 2

Explanation:

(A+B+C)=0

B+A.C= -1

Similarly

B.C+A.C= -1

A.B +B.C= -1

Adding above equations,we get

2(A.B+B.C+C.A)= -3

implies (A.B+B.C+C.A)= -1.5

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