# Homework Help: Zero divergence

1. Feb 15, 2005

### Reshma

Given a vector field:

$$\vec F= (x^2-xy)\hat x +(y^2-yz)\hat y +(z^2-xz)\hat z$$

Find the conditon for the divergence to be equal to zero.

2. Feb 15, 2005

### da_willem

How about applying the divergence to this vector field and find out?!

$$\nabla \cdot \vec{v}=\frac{\partial v_x}{\partial x}+\frac{\partial v_y}{\partial y}+ \frac{\partial v_z}{\partial z}$$

3. Feb 16, 2005

### Reshma

I applied it and got :

$$x+y+z = 0$$

Is that enough or there is more to it?

4. Feb 16, 2005

### Staff: Mentor

That's all there is to it.