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` is
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` is
A. `-(13)/(4)`
B. `-(17)/(4)`
C. 4
D. none of these
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1 Answers
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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