Transforming Vector3 points to Vector2

Question

I'm trying to convert a list of Vector3 on Vector2 because I need to put them in a graph like this:

The graph is easy to do having the Vector2 list, but I have a non-trivial problem obtaining the Vector3 Points:



As you can see, I get them using a Plane which can be in any orientation and rotation.
What formula can I use to convert them so I get X,Y points no matter the rotation of the plane.

PD: I use this code to do the job but it doesn't work on different positions and rotations of the plane...

projectedPosition.X = Vector3.Dot(ballPosition - planeOrigin, planeX);
projectedPosition.Y = Vector3.Dot(ballPosition - planeOrigin, planeY);

PlaneY = Vector3.up & PlaneX = plane.transform.forward

Answer 1

PlaneY = Vector3.up & PlaneX = plane.transform.forward

One of these things is not like the other. You're using a global axis vector for one, and the plane's axis vector for the other. Try this instead:

PlaneY = -plane.transform.right;
PlaneX =  plane.transform.forward;

Or:

var localPosition = plane.transform.InverseTransformPoint(ballPosition);

projectedPosition.X =  localPosition.Z;
projectedPosition.Y = -localPosition.X;