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## Homework Statement

Sketch the vector function

$$\vec{v}=\frac{\hat{r}}{r^2}$$

and compute its divergence. The answer may surprise you...can you explain it?

## Homework Equations

## The Attempt at a Solution

I have recently started with Introduction to Electrodynamics by David J Griffiths and according to the book notation,

$$\hat{r}=\frac{\vec{r}}{r}=\frac{x\hat{i}+y\hat{j}+z\hat{k}}{\sqrt{x^2+y^2+z^2}}$$

I have calculated the divergence to be zero. The problem is how do I draw the vector function? I mean the book shows a few drawings of vector functions but they all are in 2-D. I have three variables, x,y and z. How do I sketch the function in this case?

And what is special about the result?

Any help is appreciated. Thanks!