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 one year ago
vector field: F(x,y,z) = (cosxsiny sinxcosz, sinxcosy sinzsiny, cosycoszsinzcosx +1). How do I find the line integral of F using the potential? (Potential was previously worked out: ϕ(x,y,z) = sinxsiny+cosxcoszcosysinz)
 one year ago
vector field: F(x,y,z) = (cosxsiny sinxcosz, sinxcosy sinzsiny, cosycoszsinzcosx +1). How do I find the line integral of F using the potential? (Potential was previously worked out: ϕ(x,y,z) = sinxsiny+cosxcoszcosysinz)

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abb0t
 one year ago
Best ResponseYou've already chosen the best response.0I think you start by finding the gradient vector first of f on a given range. I think.

KonradZuse
 one year ago
Best ResponseYou've already chosen the best response.0What did I just read....? @Hero @TuringTest @amistre64 @UnkleRhaukus

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure what is meant by "line integral using the potential". On what line are you integrating?

katspaws
 one year ago
Best ResponseYou've already chosen the best response.0Hm, watch this: http://www.youtube.com/watch?v=zq9Ljkz_Yng Summarily, I am trying to calculate the work done by a vector field, and this is found out by working out the line integral (apparently this is Calculus III)

abb0t
 one year ago
Best ResponseYou've already chosen the best response.0This is vector calculus.

slaaibak
 one year ago
Best ResponseYou've already chosen the best response.3since it is conservative, it would be f(r(b))  f(r(a)) refer to fundamental theorem for line integrals

katspaws
 one year ago
Best ResponseYou've already chosen the best response.0Thanks, I've got it now. :)
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