🧄Compute Parabolic coordinates-related properties

Parabolic coordinates form an orthogonal system, which simplifies the representation of geometric shapes like parabolas and enables straightforward calculations for vector operators due to their identical scale factors.

🎬the orthogonal grid formed by the intersecting parabolas

The demo provides a visual proof that the two families of parabolas always intersect at a right angle. It also shows that the position vector is a direct line from the origin to any point in space, with its components defined by the coordinate system's conversion formulas.

🖊️Mathematical Proof

Compute Parabolic coordinates-related properties | Proof and Derivationviadean on Notion