Answer: Calc III: Find Div(F) in Terms of r

[craig16]

Homework Statement

Let r = x i + y j + z k and R = |r|. Let F = r/R^p.

find div(F) in terms of r.. i can't figure out how to express it in therms of r

Homework Equations

div(F) = the gradient added together

 

[susskind_leon]

First: express F in terms of x,y,z
Second: Compute the divergence of F by hand
Third: try to identify r in div F

 

[craig16]

hahaha sweet.. i figured it out. I was thinkin it was just too complicated but when you replace all the stuff with r it works out nicely.

thanks!