A bivector, or an oriented area
The area of a bivector
A bivector
Just like vectors that shares the same line, coplanar bivectors with the same norm are equal. In other word, a bivector has no information of its location. 1
Bivector Vector Space
Just like the Euclidean vectors
For parallel bivectors, vector addition just sum their areas. For non-parallel bivectors, vector addition gives back the result of something like following
In 2D
In 2D, there is only one plane, the
In 3D
In 3D, a bivector contains 3 orthogonal basis planes:
Just like the coordinates of a vector
Related
- Euclidean vectors - Represents oriented lengths
- trivector - Represents oriented volumes