Did i calculate this divergence theorem correclty?

[wown]

Homework Statement

what is the divergence of <y,z,x>?

Homework Equations

The Attempt at a Solution

is the answer 0? seems too easy, lol, because the actual question is
"compute the surface integral for F dot prod dS over domain T where T is the unit sphere and F = <y,z,x>"

any thoughts? did i miss something? the next question is the same except F= <-y,-z,-x> and the answer is still 0, no?

 

[Dick]

I think it's just as easy as you think it is.