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Math Help - explaining why ∫s F dA = 0, HELP!

  1. #1
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    explaining why ∫s F dA = 0, HELP!

    If S is the surface of a tetrahedron with vertices (0,0,0), (1,0,0), (0,1,0), and (0,0,1), oriented outward, and F is a constant vector field, is why ∫s F dA = 0?
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  2. #2
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    Re: explaining why ∫s F dA = 0, HELP!

    Use the divergence theorem to change the surface integral into a volume (triple) integral. The divergence of a constant vector field is zero. So the volume integral of the divergence is zero.
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