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Math Help - vectors help.

  1. #1
    Super Member
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    vectors help.

    Given that;

     XY = \begin{pmatrix} 2\\ 4 \\ 6 \end{pmatrix}


     ZX = \begin{pmatrix} -10 \\ -8 \\ 6 \end{pmatrix}

    find YZ.

    I am not sure how to work this out, and my textbook does not show me an example, can someone please show me?

    Thanks.
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  2. #2
    Super Member Failure's Avatar
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    Quote Originally Posted by Tweety View Post
    Given that;

     XY = \begin{pmatrix} 2\\ 4 \\ 6 \end{pmatrix}


     ZX = \begin{pmatrix} -10 \\ -8 \\ 6 \end{pmatrix}

    find YZ.

    I am not sure how to work this out, and my textbook does not show me an example, can someone please show me?

    Thanks.
    Make a drawing that shows the points X, Y, and Z. Then try to traverse that triangle from Y to Z along edges that you know how to express in terms of the given vectors:

    \vec{YZ} = \vec{YX}+\vec{XZ}=-\vec{XY}-\vec{ZX}=-\begin{pmatrix}2\\4\\6\end{pmatrix}-\begin{pmatrix}-10\\-8\\6\end{pmatrix}=\ldots
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