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Math Help - Vectors in Mathematics

  1. #1
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    Vectors in Mathematics

    Hey great pipz, i need help with mathematics vectors.
    Here is an equation:
    Vector (0,0) - (4,5), rotated 60 degress
    Vectors including Rotate, Reflect and Translate
    I need to know how to solve this problem. I would really appreciate your help. Thanx
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by brucycurlz View Post
    Hey great pipz, i need help with mathematics vectors.
    Here is an equation:
    Vector (0,0) - (4,5), rotated 60 degress
    Vectors including Rotate, Reflect and Translate
    I need to know how to solve this problem. I would really appreciate your help. Thanx

    The examples in 2D Graphics are the matrices you are looking for. Applying those matrices to your vector will achieve the wanted transformations.

    Good luck!
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  3. #3
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    Hi Bracycurlz,

    To solve this type of problem you need to calculate the image vector that arises by taking your initial vector v

    \left( \begin{array}{c} -4 \\ -5 \end{array} \right)

    and applying a transformation to it such that

    v' = Tv

    The transformation in this case will be a (2 x 2) matrix. There are transformations that translate, rotate, stretch and shear the original vector. So to rotate your vector by 60 degrees the Transformation matrix is

    \left ( \begin{array}{cc}<br />
cos \theta & sin \theta \\<br />
sin \theta & cos \theta \end{array} \right)<br />

    \left ( \begin{array}{cc}<br />
\frac{1}{2} & \frac{-\sqrt{3}}{2} \\<br />
\frac{\sqrt{3}}{2} & \frac{1}{2} \end{array} \right)<br />

    I hope this helps.
    Last edited by s_ingram; July 27th 2009 at 11:42 AM.
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  4. #4
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    Thanx

    Thank u, but I'm think I'm still confussed about what's going on with mathematics vectors cause i didn't do the basics. Thnax and I'll c what i do.
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