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Question

For non -zero vectors a,b,c(a×b).c=abc holds if

A
a.b=0,b.c=0,c.a0
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B
a.b0,b.c=0,c.a=0
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C
a.b=0,b.c0,c.a=0
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D
a.b=0,b.c=0,c.a=0
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Solution

The correct option is C a.b=0,b.c=0,c.a=0
(a×b).c represents the volume of the parallelopiped whose coterminous edges are a,b,c and this abc it it is rectangular, i.e. if a.b=0,b.c=0,c.a=0

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