I have an alpha plane determined by 3 points in space. How can I check if another point in space is on the left side of the plane or on the right side of it?
For example if the plane is determined by points $A(0,0,0)$, $B(0,1,0)$ and $C(0,0,1)$ then point $X(-1, 0, 0)$ is on the left side of the plane and point $Y(1,0,0)$ is on the right side of the plane.
I need a fast solution for plug-in development for a 3D application and I'm not very good at math.