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Spherical Polar coordinate geometric diagram

Discussion in 'Physics' started by logearav, Mar 13, 2012.

  1. logearav

    Thread Starter Member

    Aug 19, 2011
    248
    0
    Revered members,
    I have attached the image i.e geometric construction for spherical polar coordinate. I understand r(x,y,z) is at the distance r from the origin and r is the position vector of the point r from the origin. \Phi is the azimuth angle. I want to know why we draw vertical line from the point r. Also what is the need for another line similar to r in the xy plane. I have denoted both these lines using red colour.
     
  2. evilclem

    Active Member

    Dec 20, 2011
    118
    16
    The main purpose I can see is that they help to illustrate the location of point r relative to the x,y axis.
     
    logearav likes this.
  3. steveb

    Senior Member

    Jul 3, 2008
    2,431
    469
    It also provides the basis for measuring the angle \phi . You need to make a projection of the point into the xy-plane to define this angle.
     
    logearav likes this.
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