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I have a problem in electrostatics in which there is a uniformly charges semi-sphere of radius a with its base in the xy-plane and I want to find the electricfiled at some point h on the z-axis. What I am having trouble with is that how do you specify the vector that goes from an infinitesimal point on the surface of the sphere to the point h on the z axis? Would it be just [tex]h\hat{r} - a\hat{r}[/tex]?