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Question

(b×c).(a×d)+(c×a).(b×d)+(a×b).(c×d)=

A
0
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B
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C
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D
1
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Solution

The correct option is A 0
Solving
=b.(c×a×b)+c.(a×b×d)+a.(b×^c×d)
=b.((c.d)a(c.a)d)+c.((a.d)b(a.d))+a.((b.d)c(b.c)d)
=(ab)(cd)(ca)bd+(cb)(ad)(ab)cd+(ac)(bd)(bc)da
=0

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