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## Homework Statement

Let S be the ellipsoid where a,b, and c are all positive constants.

x

^{2}/(a+1)+y

^{2}/(b

^{2})+z

^{2}/(c

^{2}) = 1

→ → → → →

Let F = (r - ai) / ||r - ai|| [* r and i are vectors = I tried inserting the arrows]

a)Where is F undefined?

b)Find divF at points where divF is defined.

c) Find ∫

_{s}F dA.

## Homework Equations

Divergence theorem

## The Attempt at a Solution

I know that the divF=0 making it a divergence free vector field, but I am not sure how to solve for the flux through the ellipsoid.

I really would like to understand the actual concept of divergence free theorems and a step by step explanation would really help.

Thanks for your time and help!