Left Eye Dominant and right handed

For many years I've known that I'm left eyed and right handed. It doesn't seem to affect tomahawk throwing or archery. However, despite hours at the range, my fusil marksmanship was deplorable, and I always seemed to miss in the same spot. I talked to a lot of people with the same situation, right handed and left eyed. Half advised closing the left eye when shooting (which I was doing) and half advised switching. One person suggested shooting left handed with my right handed flintlock and seeing how it worked.

So I gave it a try at the range on Sunday, shot some normally, they all ended up at about 7'oclock outside the bull. Then I switched to shooting left handed. At first I thought I'd pulled and missed entirely...then I noticed the problem...I hit the bull dead on, right in the center. With amazement I just continued to tear up the bull while shooting left handed. Then I switched to right handed and the shots all ended up in the lower left at 7 oclock, outside the bull. It was pretty tricky shooting and always getting a face of smoke and flint shards, but the proof was enough to convince me.

Also some notes on hawk and knife throwing, which I got rusty on:
-7 paces my best range
-always follow through
-look down and around softly, then quick focus on target and throw
-Staring too long at the target usually results in a miss
-Knife, doing better with a blade grab