Definition of Bivectors. Meaning of Bivectors. Synonyms of Bivectors

- a bivector, as is any sum of bivectors. Not all bivectors can be expressed as an exterior product without such summation. More precisely, a bivector that...
- six-dimensional bivectors in four dimensions. These can be written Λ 2 R 4 {\displaystyle \Lambda ^{2}\mathbb {R} ^{4}} for the set of bivectors in Euclidean...
- three bivectors can also have a triple product. This product mimic the standard triple vector product. The antisymmetric product of three bivectors is....
- vectors are multiplied. Bivectors are connected to pseudovectors, and are used to represent rotations in geometric algebra. As bivectors are elements of a vector...
- to lines, so are bivectors to planes. So every plane (in any dimension) can be ****ociated with a bivector, and every simple bivector is ****ociated with...
- (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime...
- classification of electromagnetic fields is a pointwise classification of bivectors at each point of a Lorentzian manifold. It is used in the study of solutions...
- a unique smooth bivector field π ∈ X 2 ( M ) {\displaystyle \pi \in {\mathfrak {X}}^{2}(M)} . Conversely, given any smooth bivector field π {\displaystyle...
- any two pseudovectors/bivectors A {\displaystyle \mathbf {A} } and B {\displaystyle \mathbf {B} } . As the pseudovectors/bivectors form a vector space,...
- of a bivector and vector. In three dimensions bivectors are dual to vectors so the product is equivalent to the cross product, with the bivector instead...