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Question

Let u=i+j,v=ij and ω=i+2j+3k. If ^n unit vector such that u^n=0 and v^n=0 then |w^n| is equal to

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Solution

The correct option is C 3
^n is perpendicular to both v & u
Hence it has to be along the direction given by u×v
u×v=(i+j)×(ij)=kk=2k

Since its a unit vector, it will be k.

Thus, w.^n=3 & |w.^n|=3

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