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Question

If a=b+c,b×d=0 and c.d=0 then d×(a×d)d2 is equal to

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Solution

d×(a×d)d2

=d×[(b+c)×d]d2

=d×[b×d+c×d]d2

=d×[0+c×d]d2

=(dd)c(dc)dd2 [ Vector triple product- x×(y×z)=(xz)y(xy)z ]

=(d2)c(0)dd2

=c

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