The Right Hand Coordinate System states that...?

The Right Hand Coordinate System states that...?

When taking the Cross Product of 2 vectors, such as x x y, the resulting Vector z will extend in a certain direction. If we imagine the vectors to be the usual x, y on a sheet of paper, then z will extend "outwards from the paper"

If x x y = +z, then y x x = ?
-z

If y x z = +x, then z x y = ?
-x