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anonymous
 4 years ago
Let 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
Let 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.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0his is using identities involving Grad, Div and Curl as far as i know the identity is shown as : (del)∗(FXG)=((del)crossF)dotG)−Fdot((del)crossG)

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1what does del stand for?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0would delcrossG be zero since G is a constant vector field?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0del is the gradient notation.. the upside down triangle i.e. del cross F is curl of F

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1oh ok like "delta" i never studied vector fields that much so i don't think i can really help you with this question

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ah, okay well thank you anyways, I thought i had it figured but i wasn't able to get an acceptable answer, but i can ask someone tomorrow i guess

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1i'm sure someone can help you

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1I found a useful page on wikipedia that may be able to help you. Give me a couple more minutes and I might be able to reeducate myself on this stuff enough to help you also. http://en.wikipedia.org/wiki/Divergence#Properties

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0really that would be awesome!!

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1Well, as best as I can figure out, if G(x, y, z) is constant in the region around G(0) the solution should just be \[(6.914) \cdot (8.196)+(5.159)\cdot (1.838) + (4.502) \cdot (2.2)\]But if G isn't constant in that area, I don't think you have enough information. The answer comes from the identity \[\text{\div}(F \times G)=\text{Curl}(F) \cdot G  F \cdot \text{Curl}(G)\]Since G would be constant, the second term would be 0, leaving us with only the first term.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thanks a lot! I swear this is correct too, because I had tried this before. I only got lost because the calculated number i came out with was not one of the options on my assignment, so i was wondering where i may have made a mistake, or even if the mistake is in the question or answers themselves

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1by my calculations, I get 37.280502

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0solving i get 37.280502 which sadly is not on my list :(

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i know right?! but it wouldn't be the first time they messed up on the question, so perhaps it is worth an ask.

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1I would ask about it. Is there any more information that could be relevant?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that's all she wrote, question is as is

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1In that case, I would probably ask your teacher about it.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thank you for your time! It was greatly appreciated.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0It's good to know i'm not alone on my train of thought..
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