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Q.

The magnitude of the projection of the vector 2i^+3j^+k^ on the vector perpendicular to the plan containing the vectors i^+j^+k^ and i^+2j^+3k^, is

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a

6

b

36

c

32

d

32

answer is D.

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Detailed Solution

n=ijk111123=i(3-2)-j(3-1)+k(2-1)                     =i-2j+k a =2i+3j+k  Projection =a.nn=2-6+11+4+1=36

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