Questions

One of the questions I asked is why can't you multiply and divide NV. I still need to learn linear algebra. 

But I know that/if two different vectors act independently from each other. This would explain why they don't multiply or divide, but since I don't know linear algebra, I don't know for sure. Also, this doesn't explain why you are able to add and subtract NV. 

If this is true about multiplying and dividing then it should also be true about adding and subtracting. 

I really need to learn Linear Algebra. These are things I could learn by doing this.