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Value of lamda such that the line (x-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` is

A

`-(13)/(4)`

B

`-(17)/(4)`

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
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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