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PlanetMath: bivector (137 words) |
 | A bivector is a two-dimensional analog to a one-dimensional vector. |
| Whereas a vector is often utilized to represent a one-dimensional directed quantity (often visualized geometrically as a directed line-segment), a bivector is used to represent a two-dimensional directed quantity (often visualized as an oriented plane). |
| Typically the orientation of the bivector is established by placing the two vectors tail-to-tail and sweeping from the first vector to the second. |
| Springer Online Reference Works (425 words) |
| , the coordinates of a bivector behave as coordinates of a twice-contravariant tensor. |
| The scalar product of two bivectors is the number equal to the product of the measures of the factors by the cosine of the angle between their two carrier planes. |
| In tensor calculus a bivector is an arbitrary contravariant skew-symmetric tensor of valency 2 (i.e. |
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