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Math Help - Find two non-parallel unit vectors that are orthogonal to v = <3,-1,2>?

  1. #1
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    Find two non-parallel unit vectors that are orthogonal to v = <3,-1,2>?

    Find two non-parallel unit vectors that are orthogonal to v = <3,-1,2>?

    So far I can only think that

    axb = v... then I'm stuck.
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  2. #2
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    Quote Originally Posted by s3n4te View Post
    Find two non-parallel unit vectors that are orthogonal to v = <3,-1,2>?
    Just pick any two that work.

    Say \left\langle {\frac{1}<br />
{{\sqrt {10} }},\frac{3}<br />
{{\sqrt {10} }},0} \right\rangle \;\& \,\left\langle {0,\frac{2}<br />
{{\sqrt 5 }},\frac{1}<br />
{{\sqrt 5 }}} \right\rangle
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  3. #3
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    Quote Originally Posted by Plato View Post
    Just pick any two that work.

    Say \left\langle {\frac{1}<br />
{{\sqrt {10} }},\frac{3}<br />
{{\sqrt {10} }},0} \right\rangle \;\& \,\left\langle {0,\frac{2}<br />
{{\sqrt 5 }},\frac{1}<br />
{{\sqrt 5 }}} \right\rangle
    is there a process in picking them?
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  4. #4
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    Quote Originally Posted by s3n4te View Post
    is there a process in picking them?
    Not really. Just start with vectors that are perpendicular and make them units.
    You could have chosen <1,5,1>~\&~<2,0,-3> and made each a unit.
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