Approximately 57 minutes into the film. Sulu & Kirk are on the drilling platform. Kirk is hanging over the edge & Sulu has just killed the second Romulan. Notice that Kirk is holding on using only his right hand. Sulu yells for Kirk to "Give me your hand!" Kirk reaches up and as the camera abgle changes Kirk is clearly seen grasping Sulu's hand with his right hand--it should be his LEFT since he was holding onto the platform for dear life with his right.