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Vector triple product problem

  1. Jul 1, 2016 #1
    The problem:
    By considering w x (p x w) resolve vector p into a component parallel to a given vector w and a component perpendicular to a given vector w.

    Hint: a x (b x c) = b(a x c) - c(a x b)


    I'm afraid I really have no idea where to go with this one. The hint leads to: p(w.w) - w(w.p) = |w^2|p - |w||p|cosΘ w
     
  2. jcsd
  3. Jul 1, 2016 #2
    Hint 1: How is the term ##|w|^2 \vec{p}## related to the vector ##\vec{p}##?
    Hint 2: How is ##\vec{w}\times (\vec{p} \times \vec{w})## related to the vector ##\vec{w}##? For instance, is it parallel or it is perpendicular to ##\vec{w}##?
     
  4. Jul 1, 2016 #3
    Agh, so simple. Thanks! (For the solution and for how to write vectors)
     
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