Understanding the Right Hand Rule and the Cartesian Coordinate System

The Right Hand Rule is method used to remember the orientation, and directions of the axes in the Cartesian Coordinate System in 3 dimensional space.

In the image above you can see the proper application of the Right Hand Rule for the purpose of CNC machining. Each finger represents the positive direction for each axis. Though different machine tools will orient the coordinate system differently the relationship between these three axes do not change.

Standard axes of rotation are also defined by the fingers of the Right Hand Rule Additionally the positive direction of rotation can also be found by using your right hand and aligning your thumb to any of the positive axis directions and looking at the way your fingers are wrapped around that axis.