I´m curious if is it possible to plot in:  

A. two different Cartesian coordinate system who share the same plane but have different origins and rotation. The visualization should preferably resemble the output of the Plot function, but with two sets of axis.

B. as A. but the systems don't share the same plane and with the axis projected as in Plot3D.

This sketch shows an idea of what A would look like, though in a simplified way:   

![enter image description here][1]


----------


This sketch gives a 3D perspective view of an example of B:   
![enter image description here][2]


The aim is to help visualizing the projection of a function, path or list from one coordinate system to another (parent) system. I am not familiar with the mathematical concepts dealing with projections, so being able to plot would be a great start.

  [1]: https://i.sstatic.net/GYNJa.png
  [2]: https://i.sstatic.net/e4sXE.png