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Math Help - Vector space

  1. #1
    Member roshanhero's Avatar
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    Vector space

    Find a vector which is orthogonal to P=(1,2,3) with respect to Q=(0,-2,-3) and normalize that vector.
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  2. #2
    Member courteous's Avatar
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    What do you mean with "with respect to"? Are you searching vector orthogonal to \vec{PQ}?
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  3. #3
    Member roshanhero's Avatar
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    No
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  4. #4
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    Then please answer the question. What does " \vec{u} orthogonal to \vec{v} with respect to \vec{w}" mean? I know what it means for two vectors to be "orthogonal" but not "with respect to" a third vector. Could you possibly mean "orthogonal to both \vec{u} and \vec{v}"? Or are you asking about the "Orthogonal projection of \vec{v} on \vec{w}?
    Last edited by HallsofIvy; September 16th 2009 at 06:27 AM.
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  5. #5
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    Quote Originally Posted by roshanhero View Post
    P=(1,2,3)
    Q=(0,-2,-3)
    is standard notation for coordinates of points. So what yu have posted is qute ambiguous. Are we meant to assume that P is a vector given by <1, 2, 3> and Q is a vector given by <0, -2, -3>?

    Also, I support the several requests for clarification of the question.
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