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Math Help - Further Manipulation: Vectors

  1. #1
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    Further Manipulation: Vectors

    How was:
    \b{r} = \left(3\b{i}+1\b{j}-\frac72\b{k}\right)+s \left(8\b{i}-4\b{j}+5\b{k}\right)

    Manipulated to:
    \b{r} = \left(7\b{i}-1\b{j}-1\b{k}\right)+\lambda \left(8\b{i}-4\b{j}+5\b{k}\right)
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  2. #2
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    Quote Originally Posted by Air View Post
    How was:
    \b{r} = \left(3\b{i}+1\b{j}-\frac72\b{k}\right)+s \left(8\b{i}-4\b{j}+5\b{k}\right)

    Manipulated to:
    \b{r} = \left(7\b{i}-1\b{j}-1\b{k}\right)+\lambda \left(8\b{i}-4\b{j}+5\b{k}\right)
    Make the replacement s = \lambda + \frac{1}{2}.

    Since both s and \lambda are any real number, you get the same \vec{r} using either one.
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