(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

there is a surface xy^{3}z^{2}=4. What is the unit normal to this surface at a pt in the surface (-1,-1,2)??

2. Relevant equations

what is a unit normal to a scalar region? how can it be calculated?

3. The attempt at a solution

i calculated the gradient (del operator) of this surface at the given point to be 3i-12j+4k. this is in the direction of the unit normal along which max. rate of increase occurs. So far so good. But how dowe get the unit normal from this ? i dont know how to go further.

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# Gradient, unit normal in vector calculus

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