(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

F(x,y,z) = (-x+y)i + (y+z)j + (-z+x)k

Find divergence

2. Relevant equations

3. The attempt at a solution

The gradient is

-i + j + -k

Dotting that with F, I get

x - y + y + z + z - x

=

2z

My book lists the answer as -1. What the heck are they talking about? (they did not ask me to evaluate for any point)

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# Divergence of a vector field

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