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Math Help - Question Analytic Geometry

  1. #1
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    Question Analytic Geometry

    Determine the vector v that is orthogonal to the vector u = (2, -3, -12) and is colinear to the vector w = (-6, 4, -2)?

    Know that answer is v = t(3, -2, 1), but I can not get to it.
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  2. #2
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    Quote Originally Posted by steel View Post
    Determine the vector v that is orthogonal to the vector u = (2, -3, -12) and is colinear to the vector w = (-6, 4, -2)?

    Know that answer is v = t(3, -2, 1), but I can not get to it.
    w is orthogonal to u therefore every vector v collinear to w is orthogonal to u

    v = tw = t(-6, 4, -2) or t'(3, -2, 1) if you prefer (with t' = -2t)
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