Orientation of a surface (in 3D) is determined by the tangent vectors and the Jacobian. If the Jacobian is positive you have a right-handed orientation. If it is negative, you have a left handed orientation. If it is zero, then you need to evaluate what is going on.
You can't determine orientation from a point alone, but I'm guessing you want to do what I said above. Calculate the Jacobian and see if you get a positive or negative answer.