Here is a little trick you can play with yourself. Pick out an object and point at it with your index finger of either hand. With both eyes open look down your finger at the object. Now, close one eye at a time. You'll find that one eye is aligned with your finger and the object. The other eye is not. The eye that IS aligned is your dominant eye.
Even though I'm a lefty I learned to do a lot of things right handed because, when I was a kid, all tools were made for right handed people. So it was only natural for me to start shooting a handgun with my right hand. However, since my left eye is dominant I've changed that strategy and now shoot mostly left handed. I find I can point and shoot much better taking advantage of my dominant eye.
Try it!
