If →e′1,→e′2,¯e′3 ,are vectors forming a reciprocal system to the vectors →e1,→e2,→e3 then [→e′1,→e′2,→e′2][→e1,→e2,→e4] is equal to
A
−1/2
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B
1
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C
0
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D
4
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Solution
The correct option is A1 The reciprocal system of vectors →a,→b,→c will be →b×→c[→a→b→c],→c×→a[→a→b→c],→a×→b[→a→b→c]. Thus, we have 1[→a→b→c]2[→b×→c→c×→a→a×→b] =[→a→b→c]2[→a→b→c]2 =1