# Geometric Algebra

The geometric product

- $A(BC) = (AB)C$
- $$

**Definition**: The *inner product* is $a . b = 1/2 (a b - b a)$.

**Definition**: The *cross product* is $a X b = 1/2 (a b - b a)$.

The geometric product

- $A(BC) = (AB)C$
- $$

**Definition**: The *inner product* is $a . b = 1/2 (a b - b a)$.

**Definition**: The *cross product* is $a X b = 1/2 (a b - b a)$.