Compute the flux of the vector field \(\vec{v} = 8\vec{i} + 9\vec{j} + 10\vec{k}\) through the rectangular region, assuming it is oriented as shown.
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The normal vector can be found by taking the cross product of two vectors in the plane of the rectangle. Let's choose two vectors that lie in the plane, for example, (1,0,0) and (0,1,0). The cross product of these two vectors gives us the normal vector to the Show more…
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