  Grassmannians are of fundamental importance in projective geometry, algebraic
geometry, and representation theory. A vast literature has grown up utilizing
using many different languages of higher mathematics, such as multilinear and
tensor algebra, matroid theory, and Lie groups and Lie algebras. Here we
explore the basic idea of the Plucker relations in Clifford's geometric
algebra. We discover that the Plucker Relations can be fully characterized in
terms of the geometric product, without the need for a confusing hodgepodge of
many different formalisms and mathematical traditions found in the literature.
