SliceVectorPlot3D
SliceVectorPlot3D[{vx,vy,vz},surf,{x,xmin,xmax},{y,ymin,ymax},{z,zmin,zmax}] generates a vector plot of the field {vx,vy,vz} over the slice surface surf.
SliceVectorPlot3D[{vx,vy,vz},surf,{x,y,z}∈reg] restricts the surface surf to be within the region reg.
SliceVectorPlot3D[{vx,vy,vz},{surf1,surf2,…},…] generates vector plots over several slice surfaces surfi.
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