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Spherical coordinates?

  1. Jun 2, 2006 #1
    What is equivalent to the unit k (vector in cartesian coords) in spherical coordinates? And why?

    Last edited: Jun 2, 2006
  2. jcsd
  3. Jun 2, 2006 #2
    if the vector is in three dimensions, one more variable(of spherical) is required to define j.
  4. Jun 2, 2006 #3


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    Last edited: Jun 2, 2006
  5. Jun 2, 2006 #4
    I made a mistake which has been corrected, it should be the unit k vector.

    In cartesian, it is (0,0,1). What is it in spherical (0,0,what)?
  6. Jun 3, 2006 #5


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    For the most common choice of spherical polar coordinates,
    we have the following unit vetors relations:
    Solving for the Cartesian unit vectors we gain, in particular:
    That is of course equal to the coordinate transformation:
    In order to find the correct expressions for the other two unit Cartesian vectors, utilize the intermediate result:
    [itex]\vec{i}_{\hat{r}},\vec{i}_{\theta}[/itex] are polar coordinate vectors in the horizontal plane.
    Last edited: Jun 3, 2006
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