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Very quick question about notation of vector fields

  1. May 14, 2009 #1
    this is a very quick question. my teacher wants me to prove that
    ((kq)/(sqroot(x^2+y^2+z^2))) (x,y,z) is conservative. by this does it mean that
    F=((kq)/(sqroot(x^2+y^2+z^2)))i+((kq)/(sqroot(x^2+y^2+z^2)))j+((kq)/(sqroot(x^2+y^2+z^2)))k

    or does it she mean that
    F=((kq)/(sqroot(x^2+y^2+z^2)))Xi+((kq)/(sqroot(x^2+y^2+z^2)))Yj+((kq)/(sqroot(x^2+y^2+z^2)))Zk

    Basically im asking if that (x,y,z) is being distrubuted or its just acting as the (i,j,k) itself Thank you very much
    Edit oops, forgot the ^3 power in the denominator. But you guys get the point
     
    Last edited: May 14, 2009
  2. jcsd
  3. May 14, 2009 #2
    correct me if i'm wrong but i think it's the second one with the xyz being distributed
     
  4. May 14, 2009 #3

    gabbagabbahey

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    Gold Member

    The second one is correct.

    It essentially corresponds to the electrostatic field of a point charge at the origin.
     
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