It has no depth (z) value, only x and y, it is two dimensional only, used for calculation purposes mostly
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One dimension has only one axis of possibilities. Motion in one dimension is motion on straight line. Two dimensions is motion on a plane. Two axes meet at right angles and extend in both directions. A point can be located anywhere that can be described as two points in this plane.
It could be a plane.
A line is perpendicular to a plane when it is perpendicular on two lines from the plane
The principal axis of a hyperbola is the straight line joining its two foci.
Two lines that do not intersect on the same plane are Parallel lines.