# 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## 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.