Angular velocity tensor: Difference between revisions

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\boldsymbol\omega(t) \times \mathbf{r}(t) = T(t) \mathbf{r}(t) </math>
 
where A is an [[orientation matrix]]. It allows us to express the [[cross product]]
:<math>\boldsymbol\omega(t) \times \mathbf{r}(t) </math>
as a matrix multiplication. It is, by definition, a [[skew-symmetric matrix]] with zeros on the main diagonal and plus and minus the components of the angular velocity as the other elements: