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Math Help - proving this physics problem?

  1. #1
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    proving this physics problem?

    The information that was given to me was the following:

    The following are all vectors:
    a, b, c, d

    k = (a+b) (c+d)

    prove: k = (a x c) + (a x d) + (b x c) + (b x d)


    Any help would be appreciated. Thanks!
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  2. #2
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    Quote Originally Posted by colerelm1 View Post
    The information that was given to me was the following:

    The following are all vectors:
    a, b, c, d

    k = (a+b) x (c+d) Mr F says: I assume the important red product was missing ....?

    prove: k = (a x c) + (a x d) + (b x c) + (b x d)


    Any help would be appreciated. Thanks!
    Google: cross product distributive proof
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  3. #3
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    Dot product

    What if I mean to say " k = (a + b) . (c + d)"

    meaning dot product

    Does this make a difference from what you had said?
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  4. #4
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    Quote Originally Posted by colerelm1 View Post
    What if I mean to say " k = (a + b) . (c + d)"

    meaning dot product

    Does this make a difference from what you had said?
    sure would ... k = (a \times c) + (a \times d) + (b \times c) + (b \times d) is a vector

    (a + b) \cdot (c + d) is scalar.
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