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

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