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I Vector triple product

  1. Mar 9, 2016 #1
    Hi all got a confusion
    In many books I saw , authors used a specific statement here is it

    a,b,c are vectors and axb is (" a cross b")
    In general
    (axb)xc ≠ ax(bxc)
    but if
    (axb)xc = ax(bxc)
    solving it we get
    bx(axc)=0
    then it implies
    either b is parallel to (axc)
    or a and c are collinear.

    Now my question is can I say a and c are parallel rather co linear ,my confusion arise as all books I referred they all say its co linear.

    Now I think in general a and c doesn't have to lie in a same line to get the specific definition of co linearity ,
    but I am not sure.

    Thanks
     
  2. jcsd
  3. Mar 9, 2016 #2

    BvU

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    In 3D we represent a vector with three numbers (x,y,z)
    All vectors 'start' in (0,0,0), so if they are parallel they are also colinear (one is a multiple of the other).
     
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