Question: How to draw vector field on sphere?

@Carl Love 

i guess that it is this.

actually my goal is 

drawing

 tangent vector field on even-dimensional n-spheres

can vector field plot do this too?

if start from draw vector field on a sphere

 

i find that intersectplot under plot, 

is it possible for fieldplot has this

 

such as the graph in wiki

https://en.wikipedia.org/wiki/Hairy_ball_theorem

 

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