a = Graphics3D[Ellipsoid[{0, 0, 0}, {3, 1, 2}]]

    b = Graphics3D[
      Arrow /@ Table[{{2 Cos[\[Theta]], Sin[\[Theta]], 0}, 
         2 {2 Cos[\[Theta]], Sin[\[Theta]], 0}}, {\[Theta], 0, 
         2 \[Pi], \[Pi]/10}]]

    Show[a, b]

![enter image description here][1]


  [1]: http://i.stack.imgur.com/l9YdK.png