This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.

# VectorPlot3D

 VectorPlot3D[{vx, vy, vz}, {x, xmin, xmax}, {y, ymin, ymax}, {z, zmin, zmax}] generates a 3D vector plot of the vector field {vx, vy, vz} as a function of x, y and z. VectorPlot3D[{field1, field2, ...}, {x, xmin, xmax}, {y, ymin, ymax}, {z, zmin, zmax}]plots several vector fields.
• VectorPlot3D by default shows vectors from the vector field at a regular grid of 3D positions.
• VectorPlot3D omits any vectors for which the vi etc. do not evaluate to real numbers.
• VectorPlot3D has attribute HoldAll, and evaluates the fi only after assigning specific numerical values to x, y and z.
• In some cases it may be more efficient to use Evaluate to evaluate the vi symbolically before specific numerical values are assigned to x, y and z.
 BoxRatios Automatic ratio of height to width EvaluationMonitor None expression to evaluate at every function evaluation Method Automatic methods to use for the plot PerformanceGoal \$PerformanceGoal aspects of performance to try to optimize PlotRange {Full,Full,Full} range of x, y, z values to include PlotRangePadding Automatic how much to pad the range of values RegionFunction True& determine what region to include VectorColorFunction None how to color vectors VectorColorFunctionScaling True whether to scale the argument to VectorColorFunction VectorPoints Automatic the number or placement of vectors to plot VectorScale Automatic the scale and size of vectors to plot VectorStyle Automatic how to draw vectors WorkingPrecision MachinePrecision precision to use in internal computations
Plot a vector field:
Plot a vector field:
 Out[1]=
 Scope   (2)
Plot a vector field with arrows colored by the Norm of the field:
Plot with 3D arrows:
Plot a field with arbitrary three dimensional shapes:
Plot a field with arrows placed at random locations:
Color and scale the vectors based on the norm of the field:
Use 3D arrows:
New in 7