Given the equation x + z = 2.

Question

Is P parallel to any of the coordinate planes?

Is P perpendicular to any of the coordinate planes?

Answer 1

P given by the equation x + z = 2

Answer 2

P is parallel to the y-axis, perpendicular to the x-z plane.

The plane x=3 is perpendicular to the x-axis, parallel to y-z plane.

Answer 3

Thanks!