Find an equation of the sphere that passes through points (0, -2, 2), (4, 0, 0), (-2, 1, 5), and (7, 7, 9).
My first thought was to somehow find vectors from these points, but I'm not so sure that's the case.
I also think this involves a gigantic matrix with its determinant being solved for, but I'm not sure how to approach it.
On top of that, I think the midpoint rule might be involved somehow, but once again, I'm not exactly sure how to approach it without getting way off track.
Could someone help sort my ideas out and give me some direction? I just have too many thoughts about what to do, and it's frustrating me.