Let $\vec { F} = - 4 Z \vec { k }$

question 33

Essay

Let $\vec { F} = - 4 Z \vec { k }$
(a)Compute $\operatorname { div } \vec { F } ( 0,0,0 )$ .
(b) By direct computation, find the flux of $\vec { F }$ through a cube with edge length l, centered at the origin and edges parallel to the axes.
(c)Explain how your answers in parts (b)are related to that of part (a).

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