# Homework Help: Finding the curl and divergence

1. May 12, 2009

### duki

1. The problem statement, all variables and given/known data

$$\vec{F}(x,y,z) = x^2y\vec{i} + y^2z^3\vec{j} + xyz\vec{k}$$

2. Relevant equations

3. The attempt at a solution

I got:

Curl: $$(xz - 3y^2z^2)\vec{i} + (-yz)\vec{j} + (-x^2)\vec{k}$$
Div: $$2xy + 2yz^3 + xy$$

Are these right?

2. May 12, 2009

### gabbagabbahey

Looks good to me (although I would write the divergence as $3xy + 2yz^3$)

3. May 12, 2009

### duki

Awesomes. Thanks