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Q.

Let a=i+2 j-k and b=i+j+k. If p is a unit vector such that [a b p] is maximum, then p =

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a

16(i-2j+k)

b

114(3i-2j-k)

c

13(i+j-k)

d

114(i+2j+3k)

answer is C.

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Detailed Solution

[a b p]=(a×b)·p|a×b| |p||a×b|a×b=ijk12-1111=i(3)-j(2)+k(-1)|a×b|=9+4+1=14[a b p]14 p=3i-2j-k14

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