for any 3 points in space $(x_1,y_1,z_1)$, $(x_2,y_2,z_2)$, $(x_3,y_3,z_3)$, provided they are not co-linear there is a unique circle that can be drawn through these points.
What is the equation of this circle in terms of $(x_1,y_1,z_1)$, $(x_2,y_2,z_2)$, and $(x_3,y_3,z_3)$?
