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 {vx_i, vy_i, vz_i} given at specified points {x_i, y_i, z_i}.

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

MORE INFORMATION

ListVectorPlot3D by default interpolates the data given, and plots vectors for the vector field at a regular 3D grid of positions.

With the setting VectorPoints->All, 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