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Vector Field Plotting Package >

Vector Field Plots Package Symbol

GradientFieldPlot3D

GradientFieldPlot3D[f, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}]
generates a three-dimensional plot of the gradient vector field of the scalar function f as a function of x, y and z.

GradientFieldPlot3D[f, {x, x_min, x_max, dx}, {y, y_min, y_max, dy}, {z, z_min, z_max, dz}]
uses steps dx, dy and dz in variables x, y and z respectively.

MORE INFORMATION

To use GradientFieldPlot3D, you first need to load the Vector Field Plotting Package using Needs["VectorFieldPlots`"].

GradientFieldPlot3D 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`"]

Gradient field of

over the unit cube:

In[2]:=

Out[2]=