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Question

If e1,e2,¯e3 ,are vectors forming a reciprocal system to the vectors e1,e2,e3 then [e1,e2,e2] [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 A 1
The reciprocal system of vectors a,b,c will be b×c[a b c],c×a[a b c],a×b[abc].
Thus, we have 1[abc]2[b×cc×aa×b]
=[a b c]2[a b c]2
=1

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