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/sci/ - Science & Math

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5822588 No.5822588 [Reply] [Original]

Evening chaps.
Would one of you fine, upstanding and infinitely smart gentlemen help me understand the concept of using level surfaces to find unit normals to scalar fields in vector calculus?

I know we have the scalar field φ=constant or 0 in my case to simplify it.
We use grad(φ) and plug in our point <x,y,z>, then normalise it to find the unit normal vector. Here comes my question, how the fuck does knowing φ=0 help me?