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Question

If a,b and c are three non-zero vectors such that a.b=a.c, then

A
b=c
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B
ab,c
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C
abc
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D
either a(bc) or b=c
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Solution

The correct option is D either a(bc) or b=c
Here If a,b and c
are three non-zero vectors such that

a.b = a.c
a.b - a.c=0
a.(bc)=0
a=0,(bc)=0
a=0 or b=c
Therefore from this , we get
Either a(bc) or b=c
Hence Option (D)


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