Shortest distance

Point me in the right direction with this problem since I have no idea on how to tackle it.You're given 4 set of coordinates in R^3 that form a tetrahedron, then another 4 set of coordinates in R^3 that form another tetrahedron.
How do I find the smallest distance from the surface of one tetrahedron to the other?

>>11
You've learned linear algebra and you don't even know where to start? It is a bit complex, but you should be able to simplify the problem if you're clever. You only need to worry about the verteces since there are no curved surfaces involved.