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Question

If a, b, c are non coplanar vectors such that b×c=a, a×b=c and c×a=b, then

A
a=1
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B
b=1
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C
a+b+c=3
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D
None of these
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Solution

The correct options are
A a=1
B b=1
C a+b+c=3
c×a=b and a=b×c
c×(b×c)=b
c2b(c.b)c=b
c=1 and cb=0
Similarly we can get that a=b=1

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