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][1]

It is unclear whether you'd prefer this:

    a = Graphics3D[Ellipsoid[{0, 0, 0}, {3, 1, 2}]];
    
    b = Graphics3D[
       Table[Arrow[{{3.05 Cos[\[Theta]], Sin[\[Theta]], 
           0}, {3.05 Cos[\[Theta] + \[Pi]/10], Sin[\[Theta] + \[Pi]/10], 
           0}}], {\[Theta], 0, 2 \[Pi], \[Pi]/10}]];
    
    Show[a, b]

![enter image description here][2]


  [1]: http://i.stack.imgur.com/l9YdK.png
  [2]: http://i.stack.imgur.com/3dAVz.png