If the points `A(2,1,1,),B(0,-1,4)andC(k,3,-2)` are collinear, then k= – InterviewSolution

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1.	If the points `A(2,1,1,),B(0,-1,4)andC(k,3,-2)` are collinear, then k= . . . . . . . .
Answer» (i) Given `a(2,1,1),b(0,-1,4), c(k,3-2)` Since theses points are collinear `rArr AB= lambda AC` `b-a=lambda(c-a)` `-2hati-2hatj+3hatk= lambda[(k-2)hati+2hatj-3hatk]` On compaing both sides, we get `2 lambda=-2` `rArr lambda=-1` `lambda(k-2)=-2` `rArr -1(k-2)=-2` `k-2=2` `rArr k=4` Hene, corret answer from the given alternatives is

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