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## Main Question or Discussion Point

i need a vector field on S^2 that vanishes at 1 point. there was a thread like this here, but the answer was ((v1/1+x^2),(v2/1+y^2)) and i really dont see how this vanishes at a point although i do get it intuitively.

My professor hinted that i should take a non zero vector fiels in S^2 x R^2 pull it back by streographic projection via the north pole, then represent it by the south pole chart.

ca someone help me understand this.

thank you

My professor hinted that i should take a non zero vector fiels in S^2 x R^2 pull it back by streographic projection via the north pole, then represent it by the south pole chart.

ca someone help me understand this.

thank you