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Q.

If a, b, c are coplanar vectors then

(a×b)×(b×c)+(b×c)×(c×a)+(c×a)×(a×b)=

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a

0

b

a+b+c

c

a b c

d

a b c a+b+c

answer is C.

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Detailed Solution

 =a b c b-0+[b c a] c-0+[c a b] a-0 =a b c b+[a b c] c+[a b c] a =[a b c] [a+b+c]

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