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Q.

Let  a=2i^+7j^k^,b=3i^+5k^ and c=i^j^+2k^.. Let d be a vector which is perpendicular to both  a and  b and  cd=12. Then  -i^+j^-k^(c×d) is equal to

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a

24

b

44

c

48

d

42

answer is B.

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Detailed Solution

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d¯=t(a¯×b¯)=t(35i¯13j¯21k¯)a¯×b¯=i¯j¯k¯271305=35i¯13j¯21k¯c¯d¯=1235t+13t42t=12t=2(-i^+j^k^)(c×d)=111112702642=44

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