A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Come on Calculus Friends!!
If you are given curl i.e. (del (cross) F) what is the method to figure out what F is, when (del (cross) F) is a vector quantity i.e. (#, #, #)
anonymous
 4 years ago
Come on Calculus Friends!! If you are given curl i.e. (del (cross) F) what is the method to figure out what F is, when (del (cross) F) is a vector quantity i.e. (#, #, #)

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0there isn't an easy way to do it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you've got yourself a lovely set of 3 partial differential equations. \[\frac{\delta u_y}{\delta z}\frac{\delta u_z}{\delta y}=f(x,y,z) \hat{x}\] etc.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can I show you the actual question and get your opinion on what to do from there?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah, that'd be helpful, cause in general there's not really a set method of doing it that I'm aware of

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Let F and G be vector fields such that (del) X F(0) = (6.914, 5.159, 4.502), G(0) = (8.196, 1.838, 2.2). Find the divergence of F X G at 0.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0as far as i know the identity is shown as : (del)∗(FXG)=((del)crossF)dotG)−Fdot((del)crossG)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ah, okay, this is a bit of a trick, the divergence of a curl is always zero.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh wait, nvm, that wasnt in the question...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well the second part it kind of is no?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no, its the dot product with a curl, its different.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so you are saying that F(dot)[del(cross)G) is not.. a divergence of a curl?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I guess, yeah that wouldn't make much sense, because then why would they have that identity in the first place

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0.. if it was just zero

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah, g(0) is all constants though, shouldnt the curl of it be zero?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so all you'll have is the dot product of the two? I could be wrong, but from what I see you're definitly not given enough information to reverse engineer the field for f out of what you have

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0See, those are the types of things i'm still trying to grasp.. aha. it would be nice make things much easier

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay then that must be the best bet, I have possible answers, so i'll try and if I get it I'll let you know either way. thank you for your help!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.