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## Homework Statement

Prove that [tex]\int\int_{S} n dS = 0 [/tex] for any closed surface

*S*.

## Homework Equations

## The Attempt at a Solution

I used divergence theorem. But i thought it is applicable only if there is another vector multiplied to that outward unit vector (n).

[tex]\int\int_{S} F {\cdot} n dS[/tex]