Difference between revisions of "Vectors"

From Mechanics
Line 1: Line 1:
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> is:


<math>\frac{d \vec{\bf u}}{dt} = \dot{u} \vec{\bf e} + \vec{\bf\Omega} \times \vec{\bf u}</math>
<math>\frac{d \vec{\bf u}}{dt} = \dot{u} \vec{\bf e} + \vec{\bf\Omega} \times \vec{\bf u}</math>

Revision as of 09:59, 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] is:

[math]\displaystyle{ \frac{d \vec{\bf u}}{dt} = \dot{u} \vec{\bf e} + \vec{\bf\Omega} \times \vec{\bf u} }[/math]