1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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: Distance of infinity norm

  1. Mar 4, 2007 #1
    Alright, so if I want to find the distance of the ∞-norm between two vectors in lR^3, then would I take the max of the vectors first and then subtract, or should I subtract the vectors and then take the max? I think that the vectors are subtracted, and then the norm is taken, but I just want to make sure.
  2. jcsd
  3. Mar 4, 2007 #2

    D H

    User Avatar
    Staff Emeritus
    Science Advisor

    You have it correct: find the difference, then apply the norm. This is the definition of a normed distance (i.e., that is how you calculate the distance in any metric space where distance is defined by some norm on the space).
  4. Mar 4, 2007 #3


    User Avatar
    Science Advisor

    In fact, in any norm, the distance between two vectors u and v is given by ||u- v||.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook