<<"VectorFieldPlots`"

ex[x_,y_]:=- (x/((((x^2)+(((y-1))^2)))^(3/2))) + ((x+(1/2))/((((((x+(1/2)))^2)+(y^2)))^(3/2))) + ((x-(1/2))/((((((x-(1/2)))^2)+(y^2)))^(3/2)))

ey[x_,y_]:=-((y-1)/((((x^2)+(((y-1))^2)))^(3/2))) + (y/((((((x+(1/2)))^2)+(y^2)))^(3/2))) + (y/((((((x-(1/2)))^2)+(y^2)))^(3/2)))

VectorFieldPlot[{ex[x,y],ey[x,y]},{x,-2,2},{y,-2,2},PlotPoints->17]

ex2[x_,y_]:= ((3 (x+1))/((((((x+1))^2)+(y^2)))^(3/2))) - ((x-(1/2))/((((((x-1))^2)+(y^2)))^(3/2)))

ey2[x_,y_]:= ((3 y)/((((((x+1))^2)+(y^2)))^(3/2))) - (y/((((((x-1))^2)+(y^2)))^(3/2)))

VectorFieldPlot[{ex2[x,y],ey2[x,y]},{x,-2,2},{y,-2,2},PlotPoints->17]