Javascript Bouncing Balls

I need a bunch of balls bouncing in 3d, in javascript. They must bounce off each other. Here is the working code for 2d collsions: [login to view URL] I believe the 3D version of this and the equations are here, it mentions calculating Z first: [login to view URL] You can use the jsFiddle, but I need the Z component added. The Z can be shown as the size of the ball (bigger=closer). I will need to test this code to make sure the Z works right (in a 3d software) since it's hard to tell in 2d. It will take me less than 1 hour to test it.