Suppose you have a plane equation in local space and you'd like to express that plane equation in world space. The plane in local space is written as: \[P := (n, w)\] where \(n\) is the plane normal and \(w\) is the plane offset. A point \(x\) is on the plane if \[n \cdot x = w\] Now define a transform \(A\) as \[ A := (R, p) \] where \(R\) is an orthonormal rotation matrix and \(p\) is a translation vector.
