anonymous
  • anonymous
vector field: F(x,y,z) = (cosxsiny -sinxcosz, sinxcosy -sinzsiny, cosycosz-sinzcosx +1). How do I find the line integral of F using the potential? (Potential was previously worked out: ϕ(x,y,z) = -sinxsiny+cosxcosz-cosysinz)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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abb0t
  • abb0t
I think you start by finding the gradient vector first of f on a given range. I think.
KonradZuse
  • KonradZuse
What did I just read....? @Hero @TuringTest @amistre64 @UnkleRhaukus
TuringTest
  • TuringTest
I'm not sure what is meant by "line integral using the potential". On what line are you integrating?

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anonymous
  • anonymous
Hm, 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
  • abb0t
This is vector calculus.
slaaibak
  • slaaibak
since it is conservative, it would be f(r(b)) - f(r(a)) refer to fundamental theorem for line integrals
anonymous
  • anonymous
Thanks, I've got it now. :)

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