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Homework Help: Vector Field

  1. Jan 16, 2012 #1
    1. The problem statement, all variables and given/known data
    Let
    [tex]\vec{F}=(1/(x+2), 1, y)[/tex].
    The field line that passes through (2, 3, 1) also passes through the point (3, y, z).
    What is tan(y+2z)?
    Let [tex]\vec{r}_1=(2, 3, 1), \vec{r}_2=(3, y, z)[/tex]
    Since the field line passes through both points, we have
    [tex]\vec{F}(2, 3, 1)//(\vec{r}_2-\vec{r}_1)[/tex]
    hence when cross multiplied, it should equal zero!
    However, I am not getting the right answer using this approach. Can someone pinpoint where I perhaps have made an error?
    Thanks!
     
    Last edited: Jan 16, 2012
  2. jcsd
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