Theorem
+ | is closed under addition + = + | Addition is commutative - (
+ ) + = + ( + ) | Addition is associative - c
| is closed under scalar multiplication - c(d
) = (cd) | Scalar Multiplication is associative - (c + d)
= c + d | Distributive Law - c(
+ ) = c + c | Distributive Law
Vector Algebra behaves as expected, but it isn’t always nice for example AB