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

I Question About Curvilinear Cooridnates

  1. Nov 19, 2016 #1
    Hi guys, i can not understand something about curvilnear coordinates...from a "geometric" point of view what dose the componentes of the vector mean? in a non-curvilinear coordinates the components are the "projections" on along the bases but in a curvilinear coordinates the directions of the basis vectors changes from point to pint so i can not grasp the geometrical meaning!

    Attached Files:

    • 01.JPG
      File size:
      1.2 KB
  2. jcsd
  3. Nov 19, 2016 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member
    2017 Award

    The components are still the projection on the basis vectors. In general, it only makes sense to talk about the projection on the basis at the same point as the vector is defined and therefore it is not really an issue that the basis changes from point to point.

    Of course, if you want to integrate a vector quantity, it does matter - but can be taken into account fairly easy.
  4. Nov 20, 2016 #3
    Ok...thanks! :)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted