Circumcenter of (ABC) in Space.

[wewfy]

Say i have A(1,-3,0), B(2,0,2), C(3,-2,1)

How do i get the coordinates of the circumcenter

 

[Dr.Peterson]

I'd use the usual construction for the circumcenter, extended to space.

Find the plane that perpendicularly bisects AB, and likewise for BC (or AC, if you prefer). These will intersect in a line. Where this line intersects the plane ABC, will be the circumcenter.