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Math Help - Show that a x (b x c) = (a*c)b - (a*b)c (Vectors) (Solution included)

  1. #1
    s3a
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    Show that a x (b x c) = (a*c)b - (a*b)c (Vectors) (Solution included)

    The question/answer/solution is attached. The red check mark is the last thing I understand and the red question mark is the first thing I am stuck on. I basically need helping going from the step with the red check mark to the step with the red question mark.

    Any help would be greatly appreciated as usual!
    Thanks in advance!
    Attached Thumbnails Attached Thumbnails Show that a x (b x c) = (a*c)b - (a*b)c      (Vectors) (Solution included)-q13.jpg  
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    Re: Show that a x (b x c) = (a*c)b - (a*b)c (Vectors) (Solution included)

    Quote Originally Posted by s3a View Post
    The question/answer/solution is attached. The red check mark is the last thing I understand and the red question mark is the first thing I am stuck on. I basically need helping going from the step with the red check mark to the step with the red question mark.

    Any help would be greatly appreciated as usual!
    Thanks in advance!
    It's just a collection of some like terms and factoring. If you collect i, j, k components in your ? step and simplify, you'll get the same as your ticked step.
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  3. #3
    s3a
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    Re: Show that a x (b x c) = (a*c)b - (a*b)c (Vectors) (Solution included)

    Just to say, I needed a little bit more than that but your suggestion along with good sleep helped me figure this out. Thank you.
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