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VectorRange

is an option for VectorPlot and related functions that specifies the range of vector magnitudes to include in a plot.

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Basic Examples  
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VectorRange

VectorRange

is an option for VectorPlot and related functions that specifies the range of vector magnitudes to include in a plot.

Details

  • The following settings can be given for VectorRange:
  • Automaticautomatically determine the vectors to include
    Allinclude all vectors
    {min,max}include vectors whose magnitudes are between min and max
  • With the Automatic setting, the distribution of vector magnitudes is found, and any vectors sufficiently far out in the distribution are clipped.
  • The appearance of clipped vectors depends on ClippingStyle.

Examples

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Basic Examples  (4)

The range of vector magnitudes shown is automatically chosen:

Wolfram Language code: VectorPlot[({x, y}/Norm[{x, y}]^3), {x, -1, 1}, {y, -1, 1}]

Omit vectors with magnitudes outside the computed range:

Wolfram Language code: VectorPlot[({x, y}/Norm[{x, y}]^3), {x, -1, 1}, {y, -1, 1}, ClippingStyle -> None]

Specify a style to use for clipped vectors:

Wolfram Language code: VectorPlot[({x, y}/Norm[{x, y}]^3), {x, -1, 1}, {y, -1, 1}, ClippingStyle -> Gray]

Show the full range of magnitudes:

Wolfram Language code: VectorPlot[({x, y}/Norm[{x, y}]^3), {x, -1, 1}, {y, -1, 1}, VectorRange -> All]

Scope  (4)

Specify the range of vector norms to be plotted:

Wolfram Language code: VectorPlot[({x, y}/Norm[{x, y}]^3), {x, -1, 1}, {y, -1, 1}, VectorRange -> {0, 100}]

The vectors only change style between the circles where the norms are in the specified range:

Wolfram Language code: VectorPlot[{x, y}, {x, -3, 3}, {y, -3, 3}, VectorRange -> {1, 3}, Epilog -> {{Red, Circle[]}, {Green, Circle[{0, 0}, 3]}}]

Remove the vectors outside of the vector range:

Wolfram Language code: VectorPlot[{x, y}, {x, -3, 3}, {y, -3, 3}, VectorRange -> {1, 3}, ClippingStyle -> None]

Specify a color to use for out-of-range vectors:

Wolfram Language code: VectorPlot[{x, y}, {x, -3, 3}, {y, -3, 3}, VectorRange -> {1, 3}, ClippingStyle -> Green]

Use red for vectors that are too small and green for those that are too large:

Wolfram Language code: VectorPlot[{x, y}, {x, -3, 3}, {y, -3, 3}, VectorRange -> {1, 3}, ClippingStyle -> {Red, Green}]
Wolfram Research (2020), VectorRange, Wolfram Language function, https://reference.wolfram.com/language/ref/VectorRange.html.

Text

Wolfram Research (2020), VectorRange, Wolfram Language function, https://reference.wolfram.com/language/ref/VectorRange.html.

CMS

Wolfram Language. 2020. "VectorRange." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/VectorRange.html.

APA

Wolfram Language. (2020). VectorRange. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VectorRange.html

BibTeX

@misc{reference.wolfram_2026_vectorrange, author="Wolfram Research", title="{VectorRange}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VectorRange.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_vectorrange, organization={Wolfram Research}, title={VectorRange}, year={2020}, url={https://reference.wolfram.com/language/ref/VectorRange.html}, note=[Accessed: 13-June-2026]}