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Q.

If a,b,c are non - coplanar vectors and a b c=k match the following list

        List-I                             List-II A) 2a 3b 4c                        1) 4k B) a×b b×c c×a             2) k2 C) a+b b+c c+a             3) 2k D) a-b b-c c-a             4) 24k                                                 5) 0

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a

A4,B2,C3,D5

b

A4,B2,C1,D5

c

A4,B1,C3,D5

d

A4,B1,C2,D5

answer is D.

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Detailed Solution

       a b c=k (A)  =2a 3b 4c =24a b c =24k                    (B) = a×b  b×c  c×a =a b c2 =k2        (C) = a+b  b+c  c+a =a b c 110011101 =2k          (D)  =a-b  b-c  c-a =a b c  1-1001-1-101  =0                                                               

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