Given a vector space V, the corresponding bivector space is the cartesian product VxV. Each bivector corresponds to an oriented parallelogram defined by its component vectors. You turn vectors into bivectors by way of the exterior product. Bivectors are convariant tensors of rank 2, dual to bilinear forms.

Bi*vec"tor (?), n. [Pref. bi- + vector.] Math.

A term made up of the two parts + 1 -1, where and 1 are vectors.

 

© Webster 1913.

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