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Math Help - Find two unit vectors

  1. #1
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    Find two unit vectors

    Find two unit vectors that make an angle of 60 degrees with v = <3,4>.
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  2. #2
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    If \left\langle {x,y} \right\rangle is the vector you are looking for then you know that each of these must be true:
    x^2  + y^2  = 1 and \cos (60^ \circ  ) = \frac{{\left\langle {x,y} \right\rangle  \cdot \left\langle {3,4} \right\rangle }}{{\left\| {\left\langle {x,y} \right\rangle } \right\|\left\| {\left\langle {3,4} \right\rangle } \right\|}}.

    Now solve!
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