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Vector Multiplication

  1. Mar 27, 2017 #1
    1. The problem statement, all variables and given/known data
    b98fa7.png

    2. Relevant equations

    RAO = b(Sinβj+Cosβk)

    3. The attempt at a solution

    The box in red is ω. However I am unsure of where they got the box in blue from? As mentioned above, RAO = b(Sinβj+Cosβk) so not sure where they got the box in blue from? I know of the vector triple product: A x (B x C) = (A•C)B - (A.B)C, but this isn't what they've done?

    Thanks
     
  2. jcsd
  3. Mar 27, 2017 #2

    pasmith

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    Homework Helper

    I would assume that they are doing the obvious thing, ie. calculating [itex]\mathbf{\omega} \times \mathbf{r}_{AO}[/itex] first, and given the presence of a scalar factor of [itex]b[/itex] (which goes missing in the second line before reappearing in the third) the vector in the blue box must therefore be [tex]\frac{\mathbf{\omega} \times \mathbf{r}_{AO}}{b}.[/tex] (Although given that something did go missing partway through I would recommend double-checking this.)
     
    Last edited: Mar 27, 2017
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