Difference between revisions of "Vectors"
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This is a vector <math>\vec{\bf u}</math>. | This is a vector <math>\vec{\bf u}</math>. | ||
The time derivative of a vector <math>\vec{\bf u} = u \vec{\bf e}</math> is: | The time derivative of a vector <math>\vec{\bf u} = u \vec{\bf e}</math>, where <math>\| \vec{\bf e} \| = 1</math>, is: | ||
<math>\frac{d \vec{\bf u}}{dt} = \dot{u} \vec{\bf e} + \vec{\bf\Omega} \times \vec{\bf u}</math> | <math>\left. \frac{d \vec{\bf u}}{dt} \right]_R = \dot{u} \vec{\bf e} + \vec{\bf\Omega}^\vec{\bf e}_R \times \vec{\bf u}</math> | ||
Revision as of 10:02, 18 February 2022
This is a vector [math]\displaystyle{ \vec{\bf u} }[/math].
The time derivative of a vector [math]\displaystyle{ \vec{\bf u} = u \vec{\bf e} }[/math], where [math]\displaystyle{ \| \vec{\bf e} \| = 1 }[/math], is:
[math]\displaystyle{ \left. \frac{d \vec{\bf u}}{dt} \right]_R = \dot{u} \vec{\bf e} + \vec{\bf\Omega}^\vec{\bf e}_R \times \vec{\bf u} }[/math]