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Vector Field Plotting Package >

Vector Field Plots Package Symbol

VectorFieldPlot3D

VectorFieldPlot3D[{f_x, f_y, f_z}, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}]
generates a three-dimensional plot of the vector field given by the vector-valued function {f_x, f_y, f_z} as a function of x, y and z.

VectorFieldPlot3D[{f_x, f_y, f_z}, {x, x_min, x_max, dx}, {y, y_min, y_max, dy}, {z, z_min, z_max, dz}]
uses steps dx, dy and dz for variables x, y and z respectively.

MORE INFORMATION

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

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Basic Examples (1)

Needs["VectorFieldPlots`"]

A field radiating from {0, 0, 0}:

In[2]:=

Out[2]=

VectorHeads->True draws arrowheads on the vectors:

In[3]:=

Out[3]=