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Normal lines

  • Thread starter arbri
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Homework Statement


In "Methods of theoretical physics" from the authors Morse and Feshbach is writen:
" The displacement (dx,dy,dz) is perpendicular to the surface if the component displacemetn satisfy the equation:

[Broken]

How to prove this relation?



Homework Equations


the relevant equation is the equation of total change



The Attempt at a Solution

 
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Answers and Replies

  • #2
tiny-tim
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hi arbri! welcome to pf! :smile:
In "Methods of theoretical physics" from the authors Morse and Feshbach is writen:
" The displacement (dx,dy,dz) is perpendicular to the surface if the component displacemetn satisfy the equation:

$$\frac{dx}{\partial \psi /\partial x} = \frac{dy}{\partial \psi /\partial y} = \frac{dz}{\partial \psi /\partial z}$$

How to prove this relation?
that's just (dx,dy,dx)·∇ψ = 0 :wink:
 

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