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I'm trying to self-study vector calculus and I have to admit I struggle with it. As regards finding normals to a surface I know 2 ways - one involves writing the surface equation as f(x.y.z) = 0 and taking the gradient. The other method involves writing the surface in terms of 2 parameters and taking the vector product of the 2 partial derivatives. Finally, my question. If I have a circle such as x^{2}+ y^{2}= a^{2}I know the unit normal isk ,but how do I show this ? My 2 methods don't work !

Thanks

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# I Finding a unit normal to a surface

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