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Viewing as a vector field |
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:<math> T\mathbf{r} = \omega \times \mathbf{r}</math>
== Viewing as a vector field ==
For angular velocity tensor maps velocities to positions, it is a [[vector field]]. In particular, this vector field is a [[Killing vector field]] belonging to an element of the [[Lie algebra]] so(3) of the 3-dimensional [[rotation group]], SO(3).
== See also ==
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