I am not sure if there is a way to find it. But I just wanted to ask it. Is there a way to find the Euler Angles (Roll, Pitch, Yaw) of a plane in 3D? Imagine that we have 3 points coordinates (P1(P1x,P1y,P1z), P2(P2x,P2y,P2z), P3(P3x,P3y,P3z)) in 3D space. By those points, we can find the plane equation which cooncide with P1,P2 and P3 points. We can assume that the plane equation is equal to A*x+B*y+C*z+D=0 .
From this plane equation, can we find the Roll, Pitch, Yaw angles of the corresponding plane?
R(r,p,y)=Rz(y)Ry(p)Rx(r) order or any other order which is described.