In multilinear algebra, a multivector, sometimes called Clifford number or multor, is an element of the exterior algebra Λ of a vector space V. This algebra is graded, associative and alternating, and consists of linear combinations of simple k-vectors of the form v 1 ∧ ⋯ ∧ v k, {\displaystyle v_{1}\wedge \cdots \wedge v_{k},} where v 1, …, v k {\displaystyle v_{1},\ldots,v_{k}} are in V. A k-vector is such a linear combination that is homogeneous of degree k. Wikipedia