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Thread: Orthogonal vectors

  1. April 4th 2011, 11:29 AM #1
    usagi_killer
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    Orthogonal vectors



    I'm not sure how to do part a) and b). For a) I don't get how the hint helps.

    Eg, I did P_1P_2 = \frac{1}{||a||^2}aa^T\frac{1}{||b||^2}bb^T and we know that a.b = 0 but there are no dot products in the former equation...

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  2. April 4th 2011, 12:25 PM #2
    Opalg
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    Quote Originally Posted by usagi_killer View Post


    I'm not sure how to do part a) and b). For a) I don't get how the hint helps.

    Eg, I did P_1P_2 = \frac{1}{||a||^2}aa^T\frac{1}{||b||^2}bb^T and we know that a.b = 0 but there are no dot products in the former equation...
    In fact, there is a (disguised) dot product in that equation, because a^{\textsc t}b is just another way of writing a.b.
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