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VectorColorFunction—Wolfram Documentation

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VectorColorFunction

is an option for VectorPlot and related functions that specifies a function to apply to determine colors of field vectors drawn.

Details

The setting for VectorColorFunction is applied to the coordinates associated with the center of each field vector to determine the color to use to render the field vector.
With the setting VectorColorFunction->func, the arguments supplied to func are as follows:
VectorPlot,ListVectorPlot, StreamPlot,ListStreamPlot, LineIntegralConvolutionPlot, ListLineIntegralConvolutionPlot x, y, v_x, v_y, Norm[{v_x,v_y}] VectorDensityPlot, ListVectorDensityPlot,StreamDensityPlot, ListStreamDensityPlot x, y, v_x, v_y, s VectorPlot3D,ListVectorPlot3D x, y, z, v_x, v_y, v_z, Norm[{v_x,v_y,v_z}]
With the usual default setting VectorColorFunctionScaling->True, the arguments supplied to func are scaled to lie in the range 0 to 1.
With VectorColorFunctionScaling->False, original unscaled values are used.
VectorColorFunction->"name" is equivalent to VectorColorFunction->(ColorData["name"][#i]&) where the slot used is as follows: VectorPlot, ListVectorPlot, etc.: #5 (Norm[{v_x,v_y}]), VectorDensityPlot, ListVectorDensityPlot, etc.: #5 (s), VectorPlot3D and ListVectorPlot3D: #7 (Norm[{v_x,v_y,v_z}]).
The list of possible color function names is given by ColorData["Gradients"].
The function specified by VectorColorFunction must return color directives such as RGBColor and Hue or named colors such as Red and Blue.
It can also return Opacity, as well as Glow and Specularity.
Combinations of directives can be specified using Directive[g₁,g₂,…].

Examplesopen all close all Scope (2)

Vector color functions use the norms of the vectors by default:

Use the or position of the vector instead:

Use the horizontal or vertical component of the vector instead:

By default, the vector color function uses values scaled to be between 0 and 1:

Use unscaled values with VectorColorFunctionScaling->False:

Properties & Relations (1) Wolfram Research (2008), VectorColorFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/VectorColorFunction.html. Text Wolfram Research (2008), VectorColorFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/VectorColorFunction.html.CMS Wolfram Language. 2008. "VectorColorFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/VectorColorFunction.html.APA Wolfram Language. (2008). VectorColorFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VectorColorFunction.htmlBibTeX @misc{reference.wolfram_2025_vectorcolorfunction, author="Wolfram Research", title="{VectorColorFunction}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/VectorColorFunction.html}", note=[Accessed: 17-August-2025]}BibLaTeX @online{reference.wolfram_2025_vectorcolorfunction, organization={Wolfram Research}, title={VectorColorFunction}, year={2008}, url={https://reference.wolfram.com/language/ref/VectorColorFunction.html}, note=[Accessed: 17-August-2025]}

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