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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