Can arrays of points and vectors be converted into and out of 4-numeric arrays of plane equation coefficients?

I would like to ask a question, can these two arrays be converted to each other? Because I am creating related code about the cross-section plane, you can use arrays of points and vectors when creating a cross-section, or you can use plane equation coefficients (I don’t know much about this content), but when getting the plane of a cross-section, use “.get_plane” method, but it can only produce an array of plane equation coefficients, which confuses me.

Essentially, I need to obtain the points and vector arrays of a certain section

See in this post:
https://forums.sketchup.com/t/how-to-find-a-plane-without-creating-face/184493/6?u=dezmo