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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 **

#### HINT

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