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axial vector
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(Definition)
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Axial vector behaves like a vector (polar vector) except that it is invariant under the inversion of its coordinate axes. For example, the cross product of two vectors  and  ,
is an axial vector. The cross product of two axial vectors stays as an axial vector, whereas the cross product of an axial vector and a polar vector turns to be a polar vector.
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"axial vector" is owned by Mathprof. [ full author list (2) | owner history (1) ]
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(view preamble)
Cross-references: cross product, coordinate, inversion, invariant, polar, vector
There is 1 reference to this entry.
This is version 4 of axial vector, born on 2005-05-09, modified 2007-08-12.
Object id is 7031, canonical name is AxialVector3.
Accessed 3120 times total.
Classification:
| AMS MSC: | 53A45 (Differential geometry :: Classical differential geometry :: Vector and tensor analysis) |
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Pending Errata and Addenda
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