I got this question which confused me and I can't find the solution,
The two lines have equations
Line $1$ : $r = (3,5,4)+t(2,3,1)$
Line $2 $: $r = (1,1,-1)+s(1,1,1)$
Where s and t are constants.
These lines don't intersect.
A line perpendicular to line $1$ and line $2$ intersect line $1$ and line $2$ at points $P$ and $Q$ respectively. Find the coordinates of $P$ and $Q$.