# Finding the curl and divergence

## Homework Statement

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

## 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
Homework Helper
Gold Member
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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 $3xy + 2yz^3$)

Awesomes. Thanks