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Plot vector functions in different coordinate systems?

POSTED BY: Christopher Ubing
3 Replies
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Yes, 

VectorPlot[Evaluate[
    TransformedField["Polar" -> "Cartesian", {0, 1}, {r, \[Theta]} -> {x, y}]
  ], {x, -3, 3}, {y, -3, 3}]
POSTED BY: Udo Krause

You may use TransformedField to convert to Cartesian coordinates first, then use VectorPlot in the plane (or VectorPlot3D in 3-space) on the resulting field.
POSTED BY: Murray Eisenberg

Seems not to be available directly by the usage of options to VectorPlot[]. But if e.g. there are the tangential vectors to a centered circle to be plotted

VectorPlot[{-y, x}/Norm[{x, y}], {x, -3, 3}, {y, -3, 3}]

this is in cylindrical co-ordinates {0, 1} or with other words AngleVector[ $\phi$] or with even other words

VectorPlot[AngleVector[ArcTan[-y, x]], {x, -3,
POSTED BY: Udo Krause
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