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katspaws

  • 3 years ago

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)

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  1. abb0t
    • 3 years ago
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    I think you start by finding the gradient vector first of f on a given range. I think.

  2. KonradZuse
    • 3 years ago
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    What did I just read....? @Hero @TuringTest @amistre64 @UnkleRhaukus

  3. TuringTest
    • 3 years ago
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    I'm not sure what is meant by "line integral using the potential". On what line are you integrating?

  4. katspaws
    • 3 years ago
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    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)

  5. abb0t
    • 3 years ago
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    This is vector calculus.

  6. slaaibak
    • 3 years ago
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    since it is conservative, it would be f(r(b)) - f(r(a)) refer to fundamental theorem for line integrals

  7. katspaws
    • 3 years ago
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    Thanks, I've got it now. :)

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