What does pseudovector mean?
Definitions for pseudovector
pseu·dovec·tor
This dictionary definitions page includes all the possible meanings, example usage and translations of the word pseudovector.
Wiktionary
pseudovectornoun
A quantity that transforms like a vector under a proper rotation but gains an additional change of sign under an improper rotation.
Wikidata
Pseudovector
In physics and mathematics, a pseudovector is a quantity that transforms like a vector under a proper rotation, but gains an additional sign flip under an improper rotation such as a reflection. Geometrically it is the opposite, of equal magnitude but in the opposite direction, of its mirror image. This is as opposed to a true or polar vector, which on reflection matches its mirror image. In three dimensions the pseudovector p is associated with the cross product of two polar vectors a and b: The vector p calculated this way is a pseudovector. One example is the normal to an oriented plane. An oriented plane can be defined by two non-parallel vectors, a and b, which can be said to span the plane. The vector a × b is a normal to the plane, and is a pseudovector. This has consequences in computer graphics where it has to be considered when transforming surface normals. A number of quantities in physics behave as pseudovectors rather than polar vectors, including magnetic field and angular velocity. In mathematics pseudovectors are equivalent to three dimensional bivectors, from which the transformation rules of pseudovectors can be derived. More generally in n-dimensional geometric algebra pseudovectors are the elements of the algebra with dimension n − 1, written Λ−1R. The label 'pseudo' can be further generalized to pseudoscalars and pseudotensors, both of which gain an extra sign flip under improper rotations compared to a true scalar or tensor.
Numerology
Chaldean Numerology
The numerical value of pseudovector in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of pseudovector in Pythagorean Numerology is: 1
Translations for pseudovector
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"pseudovector." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/pseudovector>.
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