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Question

The value of (a×b).(c×d)+(b×c).(a×d)+(c×a).(b×d) is

A
0
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B
1
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C
2
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D
none of these
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Solution

The correct option is B 0
(a×b).(c×d)+(b×c).(a×d)+(c×a).(b×d)
[(a×b×c)+(b×c×a)+(c×a×b)].d
[(c.b)a(a.c)b+(a.c)b(a.b)c+(b.a)c(b.c)a].d
=0


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