Vectors - Revision history

Peiret at 10:10, 18 February 2022

2022-02-18T10:10:07Z

← Older revision		Revision as of 10:10, 18 February 2022
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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>~~, where~~ <math>~~\\| \vec{\bf e} \\| = 1~~</math>, is:		The time derivative of a vector <math>\vec{\bf u}</math> with respect to a reference frame <math>R</math> is

	<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>		<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>

2022-02-18T10:02:45Z

← Older revision		Revision as of 10:02, 18 February 2022
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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>

2022-02-18T09:59:28Z

← Older revision		Revision as of 09:59, 18 February 2022
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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> 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>

2022-02-18T09:59:19Z

← Older revision		Revision as of 09:59, 18 February 2022
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	This is a vector <math>\vec{\bf u}_0</math>.		This is a vector <math>\vec{\bf u}</math>.

	[math]E=~~mc^2[~~/math]		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>

2022-02-18T09:56:25Z

← Older revision		Revision as of 09:56, 18 February 2022
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	This is a vector <math>\vec{\bf u}_0</math>.		This is a vector <math>\vec{\bf u}_0</math>.

			[math]E=mc^2[/math]

2022-02-16T11:18:51Z

← Older revision		Revision as of 11:18, 16 February 2022
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	This is a vector <math>\vec{\bf u}</math>.		This is a vector <math>\vec{\bf u}_0</math>.

2022-02-16T11:17:41Z

← Older revision		Revision as of 11:17, 16 February 2022
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	This is a vector $\vec{\bf u}$.		This is a vector <math>\vec{\bf u}</math>.

2022-02-16T11:14:47Z

← Older revision		Revision as of 11:14, 16 February 2022
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	This is a vector ~~<math>~~\vec{\bf u}~~</math>~~.		This is a vector $\vec{\bf u}$.

2022-02-15T18:27:20Z

← Older revision		Revision as of 18:27, 15 February 2022
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	This ~~page~~ is ~~empty~~.		This is a vector <math>\vec{\bf u}</math>.

2022-02-15T17:08:07Z

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