If →a×(→a×→b)=→b×(→b×→c) and (→a.→b)≠0, then [→a→b→c]=
A
1
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B
2
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C
3
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D
0
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Solution
The correct option is D0 Let solve LHS ^a×(→a×→b)=(→a.→b)→a−|a|2→b --(1) RHS =→b×(→b×→c)=(→b.→c)→b−∣∣→b∣∣2→c --(2) Equating (1) & (2), we get (→a.→b)→a−|a|2→b=(→b⋅→c)→b−|b|2→c