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

Geometric and extern product

  1. May 1, 2005 #1
    Dear friends,

    I'm trying to find a resolution of the three vectors product in geometrical algebra, and there's no book or text that explaines this.

    The geometrical product of two vectors is defined like this:

    ab=a·b+a^b

    Where a·b is the inner product, and a^b is the outer product.

    a·b = 1/2 (ab+ba) and a^b=1/2 (ab-ba)

    In the case of three vectors, I have:

    a^b^c=1/2(abc-cba)

    where a^b^c is the external product of three vectors.

    But the question is how to calculate abc. Does anybody knows it???
     
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted