Another great way to feel this is to swing a broom . Grip the broom down near the head, and let the handle rest on your left side. Keep the handle on your left side and use the body to swing it back and through.
A broom can be a very good training aid. It can show you the plane line, and that the right wrist bend is on plane with the forearm - and really helps you understand how to turn the body 'through' a shot. In fact I'd bet I can teach someone to swing well using only a broom and a mop!