Divergence of vector fields

  • Thread starter aligshah88
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  • #1

Homework Equations




Hey guys I had a slight problem trying to find divergence of vector fields for the following equation:

F(x,y,z)=(yzi-xzj-xyk)/(x^2 + y^2 + z^2)

So I want to know if its possible of substitute (x^2 + y^2 + z^2) for 1 since that is the equation of a sphere? If not could some one please help me solve this question...Thanks :)
 

Answers and Replies

  • #2
Dick
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No, you can't put x^2+y^2+z^2 to be 1. You do the problem just like you usually do divergence problems. Start by finding the derivative with respect to x of the i component. So find d/dx y*z/(x^2+y^2+z^2). What do you get?
 
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