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!

Tensor? Matrix? Question. Please help me.

  1. Mar 6, 2009 #1
    1. The problem statement, all variables and given/known data
    I don't know how to prove it.
    Let us consider two arbitrary vectors
    ⃗ A and ⃗B.
    Let us define the vector product of them as
    ⃗C = ⃗A × ⃗B
    Show that the vector ⃗C belongs to the Rank 1 tensor. In other words,
    prove that
    C′i = λij Cj
    where
    Ci ≡ ϵij k Aj Bk
    C′i ≡ ϵijk A′j B′k



    2. Relevant equations



    3. The attempt at a solution
    I just tried, but I don't know about it.
     
  2. jcsd
  3. Mar 7, 2009 #2

    gabbagabbahey

    User Avatar
    Homework Helper
    Gold Member

    Hi zorrorojo, welcome to PF!:smile:

    You'll need to be more specific than "I just tried, but I don't know about it" in order to get assistance here.

    What exactly did you try? Show your attempt.
     
  4. Oct 29, 2010 #3
    pls answer these qoestion:
    1)expand the following
    aibj ϵijk=
    ϵjkl (du,l/dx,k)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook