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Homework Help: Why does this integral cut off the z component?

  1. Jan 29, 2017 #1
    1. The problem statement, all variables and given/known data
    Please don't make me post the entire question. If so, can I take a picture of the example in my textbook?

    I am looking at an example in my textbook where we are to check Stoke's theorem

    After doing the cross-product of del cross v I get (4z^2-2x)[x hat] + (2z^2)[z hat]
    since da points in the x direction
    da =dydz[x hat]
    2. Relevant equations

    integral of del cross v dot da
    3. The attempt at a solution

    when they do the integral, it is of the x component alone. why? is it because da is pointing in the x direction?
  2. jcsd
  3. Jan 30, 2017 #2


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    You could at least divulge what C, S and F are (see here for nomenclature) (I suppose your da is his dS ?)

    And ##\ \hat x\ ## reads a lot easier than [x hat]
  4. Jan 30, 2017 #3

    Ray Vickson

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  5. Jan 30, 2017 #4
    thank you :)
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