What is the difference between linear algebra and geometric algebra?

http://en.wikipedia.org/wiki/Linear_algebra
http://en.wikipedia.org/wiki/Geometric_algebra

Linear algebra started with lines in space. In analytic geometry you learned that a line in a plane with x/y axis can be expressed as Ax+By=C, where A, B & C are constants.

Now if you have two non planar lines, they cross at a point in the plane. Using linear algebra you can find that point analytically. You can also do that using a geometric construction, but reading error enters the problem

Linear algebra expand this process to n-dimensions--geometric constructions are limited to 3 dimensions.

Linear algebra also involves the properties of Matrices.

Wiki--is not too bad here, but there are a multitude of great sites-purplemath is one.

Rap

Markr and I aimed at different targets. I am restricted to Euclidean space.

Rap