VectorFieldPlots`
VectorFieldPlots`

# VectorFieldPlot3D

As of Version 7.0, VectorFieldPlot3D has been superseded by VectorPlot3D.

VectorFieldPlot3D[{fx,fy,fz},{x,xmin,xmax},{y,ymin,ymax},{z,zmin,zmax}]

generates a three-dimensional plot of the vector field given by the vector-valued function {fx,fy,fz} as a function of x, y and z.

VectorFieldPlot3D[{fx,fy,fz},{x,xmin,xmax,dx},{y,ymin,ymax,dy},{z,zmin,zmax,dz}]

uses steps dx, dy and dz for variables x, y and z respectively.

# Details and Options

• To use VectorFieldPlot3D, you first need to load the Vector Field Plotting Package using Needs["VectorFieldPlots`"].
• Variables x, y and z are coordinates in a Cartesian coordinate system.
• VectorFieldPlot3D has the same options as Graphics3D, with the following additions and changes:
•  ScaleFactor Automatic the scale of the vectors to the mesh; Max ensures that the largest vector fits in the mesh ScaleFunction None function to rescale the length of vectors MaxArrowLength None determines the largest vector to be drawn ColorFunction None the colors to use VectorHeads False whether to draw vectors with heads PlotPoints 7 number of evalution points in each direction

# Examples

## Basic Examples(1)

Wolfram Research (2008), VectorFieldPlot3D, Wolfram Language function, https://reference.wolfram.com/language/VectorFieldPlots/ref/VectorFieldPlot3D.html.

#### Text

Wolfram Research (2008), VectorFieldPlot3D, Wolfram Language function, https://reference.wolfram.com/language/VectorFieldPlots/ref/VectorFieldPlot3D.html.

#### CMS

Wolfram Language. 2008. "VectorFieldPlot3D." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/VectorFieldPlots/ref/VectorFieldPlot3D.html.

#### APA

Wolfram Language. (2008). VectorFieldPlot3D. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/VectorFieldPlots/ref/VectorFieldPlot3D.html

#### BibTeX

@misc{reference.wolfram_2024_vectorfieldplot3d, author="Wolfram Research", title="{VectorFieldPlot3D}", year="2008", howpublished="\url{https://reference.wolfram.com/language/VectorFieldPlots/ref/VectorFieldPlot3D.html}", note=[Accessed: 22-June-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_vectorfieldplot3d, organization={Wolfram Research}, title={VectorFieldPlot3D}, year={2008}, url={https://reference.wolfram.com/language/VectorFieldPlots/ref/VectorFieldPlot3D.html}, note=[Accessed: 22-June-2024 ]}