Finding the curl and divergence

[duki]

Homework Statement

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

Homework Equations

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?

 

[gabbagabbahey]

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

Are these right?

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

 

[duki]

Awesomes. Thanks