Hello,

the normal vectors of the planes are: , ,

These vectors are linear independent(?) and the planes have one common point

the normal vectors of the planes are: , ,

These vectors are linear dependent(?) because the following equation has a unique solution:

. This equation is true for r = 1 and s = 2.

First guess: The planes intersect in a common line.

According to my calculations the three planes are not parallel and there doesn't exist a common line thus they intersect in three different parallel lines.

EDIT: I've attached a diagram of the three planes.