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In chemical engineering, we deal with molar fluxes and I am very sure molar flux is not a vector, it is simply a scalar. molar flux cannot be negative because you cannot have - 5.0 moles of something flowing but I think you'll have to verify for other cases like magnetic flux and electrical fluxes

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Q: Is flux a vector
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No, electric flux is a scalar quantity. It represents the total number of electric field lines passing through a given surface.


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