Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: The surface of a unit sphere

  1. Mar 3, 2009 #1
    Please help, I have an assignment's question but I don't idea how to work on it. The question is that:

    Let R be a unit random vector points on the surface of a unit sphere. If the probabilty of R is uniform over the entire surface of a unit sphere, find the pdf of the projection of R on the x-axis

    any idea to do so?
  2. jcsd
  3. Mar 4, 2009 #2


    User Avatar
    Homework Helper

    Hi Micle

    so in this example area/total sphere area is probability to find your vector within the given area

    so the probability of having a projection will be related to the area area/total sphere area for a given dx incremnent at that position
  4. Mar 9, 2009 #3
    Hi Lanedance

  5. Mar 9, 2009 #4


    User Avatar
    Homework Helper

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook