Is Darth Vader left- or right-handed?

Darth Vader is right-handed and Hayden is not. So the fix is for him to use the left-handed grip with two hands and use his right hand for a one hand grip. Thus, Anakin and Vader's lightsaber fighting jives. There was a thread on this topic and a guy had a link to a site that even showed Vader at one point with a reverse grip in ANH.

Video evidence:
http://images4.fanpop.com/image/photos/18300000/Star-Wars-Episode-V-Empire-Strikes-Back-Darth-Vader-darth-vader-18355219-1050-656.jpg