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Finding the curl and divergence

  • Thread starter duki
  • Start date
  • #1
264
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Homework Statement



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

Homework Equations



The Attempt at a Solution



I got:

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

Are these right?
 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
5,002
6
[
Curl: [tex] (xz - 3y^2z^2)\vec{i} + (-yz)\vec{j} + (-x^2)\vec{k}[/tex]
Div: [tex] 2xy + 2yz^3 + xy[/tex]

Are these right?
Looks good to me (although I would write the divergence as [itex] 3xy + 2yz^3 [/itex]:wink:)
 
  • #3
264
0
Awesomes. Thanks
 

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