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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Originally Posted by s3n4te Find two non-parallel unit vectors that are orthogonal to v = <3,-1,2>? Just pick any two that work. Say $\displaystyle \left\langle {\frac{1} {{\sqrt {10} }},\frac{3} {{\sqrt {10} }},0} \right\rangle \;\& \,\left\langle {0,\frac{2} {{\sqrt 5 }},\frac{1} {{\sqrt 5 }}} \right\rangle $
Originally Posted by Plato Just pick any two that work. Say $\displaystyle \left\langle {\frac{1} {{\sqrt {10} }},\frac{3} {{\sqrt {10} }},0} \right\rangle \;\& \,\left\langle {0,\frac{2} {{\sqrt 5 }},\frac{1} {{\sqrt 5 }}} \right\rangle $ is there a process in picking them?
Originally Posted by s3n4te is there a process in picking them? Not really. Just start with vectors that are perpendicular and make them units. You could have chosen $\displaystyle <1,5,1>~\&~<2,0,-3>$ and made each a unit.
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