Definition of Bivector. Meaning of Bivector. Synonyms of Bivector

Here you will find one or more explanations in English for the word Bivector. Also in the bottom left of the page several parts of wikipedia pages related to the word Bivector and, of course, Bivector synonyms and on the right images related to the word Bivector.

Definition of Bivector

Bivector
Bivector Bi*vec"tor, n. [Pref. bi- + vector.] (Math.) A term made up of the two parts ? + ?1 ?-1, where ? and ?1 are vectors.

Meaning of Bivector from wikipedia

- In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors. Considering...
- a unique smooth bivector field π ∈ X 2 ( M ) {\displaystyle \pi \in {\mathfrak {X}}^{2}(M)} . Conversely, given any smooth bivector field π {\displaystyle...
- exterior product of two vectors is a bivector, while the exterior product of three vectors is a trivector. A bivector is an oriented plane element and a...
- (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime...
- 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...
- or wedge product – a binary operation on two vectors that results in a bivector. In Euclidean 3-space, the wedge product a ∧ b {\displaystyle \mathbf {a}...
- geometric algebra, with the planes of rotations ****ociated with simple bivectors in the algebra. Planes of rotation are not used much in two and three...
- 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...
- number) part and a bivector part. (A scalar is a quantity with no orientation, a vector is a quantity oriented like a line, and a bivector is a quantity oriented...
- a bivector is the vector part of a biquaternion. For biquaternion q = w + xi + yj + zk, w is called the biscalar and xi + yj + zk is its bivector part...