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added 180 characters in body

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edited Nov 23, 2020 at 12:15

56.8k
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Try RegionFunction instead of Piecewise

VectorPlot3D[Sqrt[4 - (x^2 + y^2 + z^2)] {y, -x, 0}, {x, -2, 2}, {y, -2,2}, {z, -2, 2}  
, RegionFunction -> Function[{x, y, z}, 4 > (x^2 + y^2 + z^2)],VectorPoints -> Fine]

or alternatively Boole

VectorPlot3D[Boole[4 > (x^2 + y^2 + z^2)] Sqrt[4 - (x^2 + y^2 + z^2)] {y, -x,0}
, {x, -2, 2}, {y, -2, 2}, {z, -2, 2}  , VectorPoints -> Fine]

Try RegionFunction instead of Piecewise

VectorPlot3D[Sqrt[4 - (x^2 + y^2 + z^2)] {y, -x, 0}, {x, -2, 2}, {y, -2,2}, {z, -2, 2}  
, RegionFunction -> Function[{x, y, z}, 4 > (x^2 + y^2 + z^2)],VectorPoints -> Fine]

Try RegionFunction instead of Piecewise

VectorPlot3D[Sqrt[4 - (x^2 + y^2 + z^2)] {y, -x, 0}, {x, -2, 2}, {y, -2,2}, {z, -2, 2}  
, RegionFunction -> Function[{x, y, z}, 4 > (x^2 + y^2 + z^2)],VectorPoints -> Fine]

or alternatively Boole

VectorPlot3D[Boole[4 > (x^2 + y^2 + z^2)] Sqrt[4 - (x^2 + y^2 + z^2)] {y, -x,0}
, {x, -2, 2}, {y, -2, 2}, {z, -2, 2}  , VectorPoints -> Fine]

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created Nov 23, 2020 at 12:09

Ulrich Neumann

56.8k
2
26
60

Try RegionFunction instead of Piecewise

VectorPlot3D[Sqrt[4 - (x^2 + y^2 + z^2)] {y, -x, 0}, {x, -2, 2}, {y, -2,2}, {z, -2, 2}  
, RegionFunction -> Function[{x, y, z}, 4 > (x^2 + y^2 + z^2)],VectorPoints -> Fine]