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Triple scalar product

  1. Jun 19, 2013 #1
    Im having trouble understanding this property

    my book states that: a.(bxc) = b.(cxa) = c.(axb)

    it also states that a.(ax(anything)) = 0

    I understand the second point and why that's true, what I don't understand is why a.(bxc) = b.(cxa) = c.(axb) is true

    If I name any 3 vectors a b and c would this be true? I'm just really confused to why it works, and my book doesn't really go into depth as it's a highschool book, and Wikipedia seems to be vague or too complex for me.
     
  2. jcsd
  3. Jun 19, 2013 #2

    LCKurtz

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    Do you have the property that you can interchange the dot and cross? If not, you should show that first. Then try it on a.(bxc) and see if you can get one of the other forms remembering that the dot product is commutative.
     
  4. Jun 19, 2013 #3
    no, I don't - what is this property?
     
  5. Jun 19, 2013 #4

    LCKurtz

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    a.(bxc) = (axb).c
     
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