### Commutative Property

As in adding scalar quatities, changing the order in which to vectors are added does not affect the final resultant vector. In other words **A** + **B** = **B** + **A**. Thus I could take vector A and add it to B and the final resultant vector will not change. However, subtracting vectors is NOT Commutative. This is because vector A and B are not the same (most of the time) and a negative sign affects a vector's direction. Thus **A** - **B** != **B** - **A**.