2 of 3 deleted 35 characters in body
a = Graphics3D[Ellipsoid[{0, 0, 0}, {3, 1, 2}]]

b = Graphics3D[ Arrow /@ Table[{{2 Cos[θ], Sin[θ], 0}, 2 {2 Cos[θ], Sin[θ], 0}}, 
                               {θ, 0, 2 π, π/10}]]

Show[a, b]

enter image description here