Value of `lamda` such that the line `(x-1)/(2)=(y-1)/(3)=(z-1)/(lamda) – InterviewSolution

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1.	Value of `lamda` such that the line `(x-1)/(2)=(y-1)/(3)=(z-1)/(lamda)` is `bot` to normal to the plane `vecr.(2veci+3vecj+4veck)=0` isA. `-(13)/(4)`B. `-(17)/(4)`C. 4D. none of these
Answer» Correct Answer - a Since line is parallel to the plane, vector `2hati+3hatj+lamdahatk` is perpendicular to the normal to the plane `2hati + 3hatj+ 4hatk` `rArr" "2xx2+ 3xx3 + 4lamda =0` or `" "lamda = - (13)/(4)`

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