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Question

if u=a×(b×c)+b×(c×a)+c×(a×b) then

A
u is a unit vector
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B
u=a+b+c
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C
u=0
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D
u0
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Solution

The correct option is C u=0
a×(b×c)=(a.c)b(a.b)c
Similarly b×(c×a)=(b.a)c(b.c)a
and c×(a×b)=(c.b)a(c.a)b
u=a×(b×c)+b×(c×a)+c×(a×b)=0

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