Vector Visualization
The Wolfram Language provides state-of-the-art fully automated visualization of vector functions and data—suitable for representing flows, field lines, and other vector fields of any complexity.
Stream Visualization
StreamPlot, ListStreamPlot — make a stream plot from a vector field
LineIntegralConvolutionPlot ▪ ListLineIntegralConvolutionPlot
Vector Visualization
VectorPlot, ListVectorPlot — plot vectors from a vector field
Vector + Scalar Visualization
StreamDensityPlot, ListStreamDensityPlot — superimpose plots of vector and scalar fields
VectorDensityPlot ▪ ListVectorDensityPlot
3D Vector Visualization
VectorPlot3D, ListVectorPlot3D — plot vectors from a 3D vector field
SliceVectorPlot3D, ListSliceVectorPlot3D — plot vectors on a slice surface
Geographic Visualization »
GeoVectorPlot ▪ 
GeoStreamPlot ▪ ...
Complex Visualization »
ComplexVectorPlot ▪ 
ComplexStreamPlot ▪ ...
Options
StreamPoints, VectorPoints — number or placement of streamlines, vectors
StreamScale — scale and size of streamlines
VectorScaling, VectorSizes — scale and size of vectors
StreamStyle, VectorStyle — color and style of streamlines, vectors
StreamMarkers, VectorMarkers — general shape of streamlines, vectors
ColorFunction, Mesh, MeshFunctions — coloring, meshing, contouring, etc. for scalars