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Q.

If a,b,c are unit vectors such that a + b + c = 0 , then a.b + b.c + c.a=

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a

2

b

–2 
 

c

3/2

d

–3/2 
 

answer is D.

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Detailed Solution

a=b=c=1 a+b+c=0 a+b+c2=0 1+1+1+=(a.b+b.c+c.a)=0 a.b+b.c+c.a=-32

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