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Math Help - 3 orthogonal vectors

  1. #1
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    3 orthogonal vectors

    in 3D space, if the projection of vector "U" onto vector "V"= vector "W1" then
    U=W1+W2 so W2=U-W1 and the dot product of W2 and W1=0
    can anyone please help me find the third vector "W3" so that the dot product of "W3" and "W2"=0 and the dot product of "W3" and "W1"=0. In other words, all three are mutually orthogonal and all three should add up to vector "U"
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  2. #2
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    W_1\times W_2, the cross product, is perpendicular to both.
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