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 | The time derivative of a vector <math>\vec{\bf u}</math> with respect to a reference frame <math>R</math> is | ||
<math>\frac{d \vec{\bf u}}{dt} = \ | <math>\left. \frac{d \vec{\bf u}}{dt} \right]_\text{R} = \left. \frac{d \vec{\bf u}}{dt} \right]_\text{REL} + \vec{\bf\Omega}^\text{REL}_\text{R} \times \vec{\bf u}</math> | ||
Latest revision as of 10:10, 18 February 2022
This is a vector [math]\displaystyle{ \vec{\bf u} }[/math].
The time derivative of a vector [math]\displaystyle{ \vec{\bf u} }[/math] with respect to a reference frame [math]\displaystyle{ R }[/math] is
[math]\displaystyle{ \left. \frac{d \vec{\bf u}}{dt} \right]_\text{R} = \left. \frac{d \vec{\bf u}}{dt} \right]_\text{REL} + \vec{\bf\Omega}^\text{REL}_\text{R} \times \vec{\bf u} }[/math]