Pseudovector


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Related to Pseudovector: Polar vector

pseudovector

[¦sü·dō′vek·tər]
(physics)
A quantity which transforms as a vector under space rotations but which transforms as a vector, together with a change in sign, under a space inversion. Also known as axial vector.
A quantity which transforms as a four-vector under Lorentz transformations, but with an additional sign change under space reflection or time reflection or both.

Pseudovector

 

(or axial vector), a vector in an oriented space that is transformed into the opposite vector when the orientation of the space is reversed. An example of a pseudovector is the vector product of two vectors.


Pseudovector

 

a vector determined to within an arbitrary numerical factor (vector direction). For example, the homogeneous coordinates x1, x2, x3, x4 of a point in three-dimensional space with a fixed coordinate system can be considered as the components (coordinates) of a four-dimensional pseudovector.

References in periodicals archive ?
ik] with the space rotation angular velocity pseudovector [[OMEGA].
2] one obtains in 4-dimensional spacetime with pseudo euclidean signature (+ ) the minus sign in front of the squares of the pseudovector and pseudoscalar terms.