  In this paper, we introduce the Grassmann tensor by tensor product of vectors
and some basic terminology in tensor theory. Some basic properties of the
Grassmann tensors are investigated and the tensor language is used to rewrite
some relations and correspondences in the mutliview geometry. Finally we show
that a polytope in the Euclidean space $\R^{n}$ can also be concisely expressed
as the Grassmann tensor generated by its vertices.
