1. Not finding help here? Sign up for a free 30min 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!

Determinates to Calculate Cross Product

  1. Sep 18, 2011 #1
    1. The problem statement, all variables and given/known data
    Not really a homework problem, just a general question.

    2. Relevant equations
    Sorry, I don't yet know how to create arrays/matrices in latex (this is a gif)
    image007.gif

    3. The attempt at a solution
    In the above image, why is [itex]c_{1}[/itex] positive, [itex]c_{2}[/itex] negative, and [itex]c_{3}[/itex] positive?

    Aside from that, I think I understand the rest. I would assume c from the formula to be the unit vectors denoting direction, A would be the first vector in the product, and B would be the second. From there,

    [itex]c_{1}[/itex] times [itex](a_{2}b_{3} - b_{2}a_{3})[/itex]

    would be the [itex]c_{1}[/itex] component of the product and so on...

    But why would the y/j component be negative in the formula?
     
  2. jcsd
  3. Sep 18, 2011 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

  4. Sep 18, 2011 #3
    Ahh, I see. So it's going to alternate every time as the exponent (i+j) becomes odd/even. I can see how this would get really tedious for matrices larger than 3x3.

    Thanks for the information!
     
  5. Sep 18, 2011 #4
    It's just the nature of it isn't it? It's like looking at the mirror
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Determinates to Calculate Cross Product
  1. Cross product (Replies: 1)

  2. Cross Product? (Replies: 17)

  3. Cross Products (Replies: 6)

  4. Cross Products (Replies: 3)

  5. Cross product (Replies: 3)

Loading...