**L1** = <3,4,1> + t <2,-1,3>
**L2** = <1,3,4> + s <4,-2,5>

I'm trying to see if these lines are parallel, skew, or intersect. I've already discovered that they are not parallel. I was thinking about setting them equal to each other at the point t=s and seeing if there is a solution, which would prove that they intersect, and if their isn't one that would prove that they skew.

So,
<3,4,1> + t <2,-1,3> = <1,3,4> + t <4,-2,5>

How do I solve this?