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a vector field, F, is only depends only z. how does a change in orientation from upward to downward affect the change in a flux.
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Seems to me it would remain the same intensity of flux, however the direction would be reversed, meaning negative of it. A picture might help, draw it out.
|dw:1385358118513:dw|
The corner is supposed to go to origin but i messed up drawing it. The vector field is F(x,y,z) = zk
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