A line l passing through the origin is perpendicular to the lines `l_1:(3+t)hati+(-1+2t)hatj+(4+2t)hatk`, `-oo<t<oo,

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Q 1114556450.     A line l passing through the origin is perpendicular to the lines

`l_1:(3+t)hati+(-1+2t)hatj+(4+2t)hatk`, `-oo
Then the coordinates of the point(s) on `l_2,` at a distance of `sqrt(17)` from the point of intersection of`l_1` and `l` is
JEE 2012 Mains
A

` (7/3,7/3,5/3)`

B

`(-1,-1,0)`

C

`(7/9,7/9,8/9)`

D

`(1,1,1)`

HINT

the dot product of the directions of both line will be `0`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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