Can two planes intersect each other by means of another plane (not just a line)?

Question

Can two planes intersect each other by means of another plane (not just a line)?

Answer 1

Not that I know of. There are 3 scenarios for 2 planes:

- They intersect at a line

- They are coincident (lie on each other) and so, look like they only form one plane

- They are parallel and so, do not touch at all.

Answer 2

only when they are the same plane.

Answer 3

No. Since only one plane can intersect itself by means of another plane, and there cannot be two planes if they are the same.

Answer 4

Yes, if they are two instances of the same plane.

Otherwise, they can either intersect as a line, or, if they are parallel, they won't intersect at all.