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Math Help - Vector field and Line Integrals

  1. #1
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    Vector field and Line Integrals

    Dear teacher, I have a problem:


    How is r parametrized in the task below? This is needed for finding W, which is given by:

    W = ∫c F dr.

    7. Find the work done by the force field

    F = (x + y)i + (x - z)j + (z - y)k
    in moving an object from (1,0,-1) to (0,-2,3) along any smooth curve.


    Best regards
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  2. #2
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    Re: Vector field and Line Integrals

    Quote Originally Posted by kaemper View Post
    Dear teacher, I have a problem:


    How is r parametrized in the task below? This is needed for finding W, which is given by:

    W = ∫c F • dr.

    7. Find the work done by the force field

    F = (x + y)i + (x - z)j + (z - y)k
    in moving an object from (1,0,-1) to (0,-2,3) along any smooth curve.


    Best regards
    Take the Curl of your vector field. What does that value suggest exists? Find this and you don't need to worry about the actual path for your integral.
    Thanks from kaemper
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