Rotating a point about an axis or three.

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Ryan Burnside

Ok I have created a demo to demonstrate what I do know. It will show rotation along the three demensions. I need to know how to plot a point from 3 given distances from each axis and an angle away from each axis. There HAS to be a formula for 3D plotting somebody had to write 3D software originally.
Lets say i have a point in the form of x,y,z and angles a1,a2,a3 how would I plot it?

What I can show so far:
http://www.ex0.biz/uploads/1106/1164264799.zip