Quoted: shooting Isoceles` is the best way for cross dominate eye shooters to work with the handgun or the rifle, keep your rifle and handgun stances the SAME. the Isoceles` works great for this becasue of the trianglelar shape your body makes which puts the weapon system strait out in front of the eyes (meaning if your body is alinged strait behind the weapon then cross-domination dosent matter.)
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I do not agree with all the above. The isosceles stance may be the best for a cross dominant shooter. BUT to say that cross domination doesn't matter goes too far.
Put it to the test. Take the isosceles stance and pick out a target. Then close one eye and note the POA. Then reverse the closed eye. I bet your POA changes.
It HAS to change. Geometry requires it.
The front and rear sights have to be in STRAIGHT alignment with one of your two eyes, regardless of the style of stance you take.
Thus sight alignment eye ALWAYS matters for precise aiming.
If you shoot enough, and concentrate hard enough, you might be able to change the dominant eye.
I am naturally left eye dominant, but was able to train my right eye to become dominant.
This has helped tremendously, because it does allow me to keep both eyes open with pistol or rifle.