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Upgrading from:

Graphics`PlotField3D`

All of the functionality in Graphics`PlotField3D` has been added to the built-in Mathematica kernel.

Load VectorFieldPlots` to use the Vector Field Plots Package:

Version 5.2 << Graphics`PlotField3D`;
Wolfram Language code: <<VectorFieldPlots`;

VectorFieldPlot3D contains the functionality of PlotVectorField3D:

Version 5.2 PlotVectorField3D[{x, y, z}, {x, 0, 1}, {y, 0, 1}, {z, 0, 1}]
Wolfram Language code: VectorFieldPlot3D[{x, y, z}, {x, 0, 1}, {y, 0, 1}, {z, 0, 1}]

ListVectorFieldPlot3D contains the functionality of ListPlotVectorField3D:

Version 5.2 ListPlotVectorField3D[ Flatten[Table[{{x, y, z}, {x, y, z}}, {x, 0, 1, 0.2}, {y, 0, 1, 0.2}, {z, 0, 1, 0.2}], 2]]
Wolfram Language code: ListVectorFieldPlot3D[Flatten[Table[{{x, y, z}, {x, y, z}}, {x, 0, 1, 0.2}, {y, 0, 1, 0.2}, {z, 0, 1, 0.2}], 2]]

GradientFieldPlot3D contains the functionality of PlotGradientField3D:

Version 5.2 PlotVectorField[{x, y}, {x, 0, 1}, {y, 0, 1}]
Wolfram Language code: GradientFieldPlot3D[x ^ 2 + y ^ 2 - z ^ 2, {x, 0, 1}, {y, 0, 1}, {z, 0, 1}]