I'm struggling to find the method to use when trying to get the normal vector(adsbygoogle = window.adsbygoogle || []).push({}); nto a (flat) surface at a specific point. Every textbook I've researched has the same scenerio, where they show how to get aplanegiven a point and normal vector, but I have the opposite problem, where I know the plane and know the point but want thenormal. And since that method uses a dot product I can't simply "undo" it to findn.

I know how to get the general normal to the surface by taking the gradient of the plane equation, but I need the specific one that goes through a known coordinate.

And sorry to make it more difficult, but this is in cylindrical coordinates... if there is a way to do this without converting to Cartesian that would be some excellent information.

Thanks

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# Analytic Geometry - finding the normal vector at a point

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