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Q.

If a,b,c are three non - coplanar vectors represented by concurrent edges of a parallelopiped of volume 4 cu. units then a+b.b×c+b+c.c×a+c+a.a×b=

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a

± 12

b

12

c

0

d

4

answer is A.

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Detailed Solution

a b c=4 =(a+b)·(b×c)+(b+c)·(c×a)+(c+a)·(a×b) =a b  c+0+b c a+0+c a b+0 =12

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