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

Coordinate systems. Derivatives

  1. Oct 14, 2013 #1
    ## \vec{r}=\rho \cos \varphi \vec{i}+\rho \sin \varphi \vec{j}+z\vec{k} ##
    we get
    [tex]\vec{e}_{\rho}=\frac{\frac{\partial \vec{r}}{\partial \rho}}{|\frac{\partial \vec{r}}{\partial \rho}|}[/tex]
    [tex]\vec{e}_{\varphi}=\frac{\frac{\partial \vec{r}}{\partial \varphi}}{|\frac{\partial \vec{r}}{\partial \varphi}|}[/tex]
    Is it correct for any orthogonal system or maybe for any system? Why you can use this relation?
     
  2. jcsd
  3. Oct 14, 2013 #2

    mathman

    User Avatar
    Science Advisor
    Gold Member

    It would help if you would define the symbols, [tex]\vec{e}_{\varphi}, \vec{e}_{\rho}[/tex]
     
  4. Oct 15, 2013 #3
    Unit vectors in cylindrical system.
     
  5. Oct 15, 2013 #4

    mathman

    User Avatar
    Science Advisor
    Gold Member

    If you divide any vector by its magnitude you get a unit vector. I am not sure what you are asking?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Coordinate systems. Derivatives
  1. 3D coordinate system (Replies: 3)

Loading...