When you pull back the bow string, you will hold your bow up like you are actually shooting it, but when you put it in your other hand and pull the string back, your arms will not go up into position and make it look like you are actually shooting it. When you switch your main hand to left, it doesn't work in your right hand,but if your main hand is right, it does not work in your left hand.

What I expected to happen was...
The bow animation would work in your other hand
What actually happened was...
The bow would pull back in your hand, but your arms will not go into position as if you are holding nothing in your hand at all.
Steps to Reproduce:
1. Craft a bow, or take the bow out of the creative inventory.
2. Put the bow in your other hand (Opposite of your main hand).
3. Try to shoot the bow (Must have arrows if in survival).