Vector Field

  • #1
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Homework Statement


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:

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