Clifford Algebra

An objects in Clifford Algebra can be thought of as a Complex Number only more so.

The basics

Two vectors in any number of dimensions can be multiplied according to this rule.

$ab = (ab + ba)/2 + (ab - ba)/2 \,\!$

The first term is the dot product of vector algebra, and has a scalar result.

$a.b = (ab + ba)/2\,\!$

The second term is termed the wedge product. The result of this is termed a bivector because it is the product of two vectors.

$a\wedge b = (ab - ba)/2$

Thus Clifford product can be expressed as

$ab = a.b + a\wedge b$

Assume 2 orthogonal basis vectors of unit size

more to come here - sorry incomplete