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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
3
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C
2
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D
-3
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Solution

The correct option is A 0
(a×b)(c×d)=(a.c)(b.d)(a.d)(b.c)
(b×c)(a×d)=(b.a)(c.d)(b.d)(c.a)
(c×a)(b×d)=(c.b)(a.d)(c.d)(a.b)
(a×b)(c×d)+(b×c)(a×d)+(c×a)(b×d)=0

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