Needs["VectorAnalysis`"] Clear[field, r, θ, ϕ]; m = Transpose[ Transpose[JacobianMatrix[#, Spherical @@ #]]/ ScaleFactors[Spherical @@ #]] &@{r, θ, ϕ}; field[r_, θ_, ϕ_] = Simplify[m.{3/(4 r^4) (3 Cos[θ]^2 - 1), 3/(4 r^4) Sin[2 θ], 0}]; StreamPlot[ Delete[ field @@ CoordinatesFromCartesian[{x, 0, z}, Spherical], 2], {x, -3, 3}, {z, -3, 3}]