Determine whether the flux of the vector field F through each surface is positiv

Question

Determine whether the flux of the vector field F through each surface is positive, negative, or zero. In each case, the orientation of the surface is indicated by the gray normal vector.

The choices are: Positive, Negative, or Zero.

To see the image bigger, better: http://i.imgur.com/8uLTMwL.png

1. _____________

2. _____________

3. _____________

4. _____________

5. _____________

Determine whether the flux of the vector field F through each surface is positive, negative, or zero. In each case, the orientation of the surface is indicated by the gray normal vector. The choices are: Positive, Negative, or Zero.

Explanation / Answer

In 1,2, and 3 the answer is zero, because the gray arrow (representing the orientation of the surface) is perpendicular to the blue arrows representing the vector field.

in 4 it's negative because the gray arrow is opposing the vector field.

in 5 its positive because the gray vector is in the same direction as the vector field.

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