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

Orthogonal Transformation and condition

  1. Dec 31, 2008 #1
    Hi there!
    In order to proof the orthogonal condition aijaik=[tex]\delta_{jk}[/tex] j,k=1,2,3
    I write the invariance of the length of a vector in two coordinate systems:
    x'ix'i=xixi
    Using the linear transformation:
    x'i=ai1xi1+ai2xi2+ai3xi3
    the first term becomes:
    aijaikxjxk

    My question is: why can't I write
    aij2=xj2
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Orthogonal Transformation and condition
  1. Orthogonal Sets (Replies: 3)

Loading...