InterviewSolution
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InterviewSolution
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For any three vectors `overset(to)(a), overset(to)(b) " and " overset(to)(C )` ` (overset(to)(a) - overset(to)(b)). {(overset(to)(b)-overset(to)(c))xx(overset(to)(c)-overset(to)(a))} = 2overset(to)(a).(overset(to)(b)xx overset(to)(c))` |
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Answer» Correct Answer - 1 `(vec(a)-vec(b)).{(vec(b)-vec(c ))xx (vec(c )-vec(a)) }=(vec(a)-vec(b)).(vec(b)xx vec(c )-vec(b) xx vec(a) +vec(c )xx vec(a))` `=vec(a) ". "(vec(b) xx vec(c )) -vec(b) .(vec(c )xx vec(a)) = [vec(a)vec(b)vec(c )]+[vec(a)vec(b)vec(c )]` `=2 [vec(a)vec(b)vec(c )]=2vec(a).(vec(b)xx vec(c ))` Hence it is a true statement . |
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