As the title suggests, I don't know where to start on this problem: I have a a 2D plane defined by it's origin point in global coordinates(x,y,z) and its axis endpoints as well, but I don't know how to return the local coordinates of a point on the plane

I found this solution but it gave false results:

// given information

`Vector3 origin;

Vector3 planeXDir;

Vector3 planeYDir;

Vector3 pointOnPlane;

Vector3 v = pointOnPlane - origin;

Vector2 positionInPlane = new Vector2(Vector3.Dot(planeXDir, v), Vector3.Dot(planeYDir, v));`

I don't know where I went wrong, maybe a misconception of planeXDir and planeYDir? I'd be happy if someone could explain or give me an easier solution to implement.

CodePudding user response：

That code is correct, so there're misconceptions or mistakes somewhere. Check that planeXDir & planeDir are orthogonal, and unit (or if not unit that you really want a scaling difference between unit lengths in 3D vs the plane).