Three vectors ^i+^j,^j+^k,^k+^i, when taken two at a time, form three planes. The three unit vectors drawn perpendicular to these three planes form a parellelopiped of volume V, then the value of V is
A
13
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B
4
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C
3√34
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D
43√3
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Solution
The correct option is B4 Two of the three vectors given →a,→b,→c) are taken at a time to form a plane.
The normal vectors to the plane will be given by
→a×→b,→b×→c,→c×→a
Now, the normal to that planes are forming a parallelopiped so the volume is given by [→a×→b→b×→c→c×→a]