BUILT-IN MATHEMATICA SYMBOL

# ListVectorPlot3D

ListVectorPlot3D[array]
generates a 3D vector plot from a 3D array of vector field values.

ListVectorPlot3D[{{{x1, y1, z1}, {vx1, vy1, vz1}}, ...}]
generates a 3D vector plot from vector field values given at specified points .

ListVectorPlot3D[{data1, data2, ...}]
plots data for several vector fields.

## Details and OptionsDetails and Options

• ListVectorPlot3D by default interpolates the data given, and plots vectors for the vector field at a regular 3D grid of positions.
• With the setting , ListVectorPlot3D instead shows vectors associated with the particular vector field data points given.
• ListVectorPlot3D has the same options as Graphics3D, with the following additions and changes:
•  BoxRatios Automatic ratio of height to width DataRange Automatic the range of x, y, and z values to assume for data 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
• The arguments supplied to functions in RegionFunction and ColorFunction are x, y, z, , , , Norm[{vx, vy, vz}].

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

Plot the vector field interpolated from a specified set of vectors:

 Out[1]=

Plot the vector field from data specifying coordinates and vectors:

 Out[2]=