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!

Scalar Triple Product Derivative

  1. Feb 17, 2014 #1
    1. The problem statement, all variables and given/known data

    Find an expression equivalent for the derivative of the scalar triple product

    a(t) . (b(t) x c(t))


    3. The attempt at a solution

    Initially I figured since whatever comes out of B X C is being dotted with A, I can use the derivative rules of a dot product:

    (a(t)' . (b(t) x c(t))) + ( a(t) . (b(t) x c(t))' )

    However, the solution just gives an expression for the scalar triple product in a 3x3 matrix form, that is,


    a(t) . (b(t) x c(t)) = [ a1 a2 a3
    b1 b2 b3
    c1 c2 c3 ]

    What gives?
     
  2. jcsd
  3. Feb 17, 2014 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    That would be helpful if you know how to differentiate a determinant whose entries are functions. But I like your original idea. What is the formula for ##(\vec b(t) \times \vec c(t))'##? Is there a similar formula as you used for the dot product? Just keep going...
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Scalar Triple Product Derivative
  1. Triple Scalar Product (Replies: 4)

  2. Triple Scalar Product (Replies: 3)

  3. Triple scalar product (Replies: 3)

Loading...