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Question

If a,b,c,d are non-zero vectors, then [a×b a×c d] can be simplified as:

A
(ab)[a c d]
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B
(ad)[a b c]
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C
(bc)[a b d]
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D
(ac)[b c d]
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Solution

The correct option is B (ad)[a b c]
[a×b a×c d]=(a×b){(a×c)×d}
=(a×b){(ad)c(cd)a}=(ad)[a b c](cd)[a b a]=(ad)[a b c]

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