VectorDensityPlot

VectorDensityPlot[{{vx,vy},r},{x,xmin,xmax},{y,ymin,ymax}] generates a vector plot of the vector field {vx,vy} as a function of x and y, superimposed on a density plot of the scalar field r. 

VectorDensityPlot[{vx,vy},{x,xmin,xmax},{y,ymin,ymax}] takes the scalar field to be the norm of the vector field.

VectorDensityPlot[{{vx,vy},{wx,wy},…,r},{x,xmin,xmax},{y,ymin,ymax}] plots several vector fields. 

VectorDensityPlot[…,{x,y}∈reg] takes the variables {x,y} to be in the geometric region reg. 

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