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Math Help - Vector parallel to plane? Goes through origin?

  1. #1
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    Question Vector parallel to plane? Goes through origin?

    Can someone please tell me how to answer this question?
    My Algebra is not good so please in simple language.

    http://i53.tinypic.com/6jj4hf.png
    (didn't let me insert the image)
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  2. #2
    MHF Contributor

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    Why not just write it in? It's not that difficult. The given vector is <5, -24, 50> and the plane is [tex]x= \lambda<4, 5, 2>+ \mu<-5, 5, 3>+ <5, 2, -2>.

    Is the vector parallel to the plane? Are there values for \lambda and \mu such that \lambda<4, 5, 2>+ \mu<-5, 5, 3>= <5, -24, 50>?

    Is the vector in the plane? What does that mean? A vector is "movable" and does not actually lie in any plane. Are you interpreting <5,-24,50> as the vector from (0, 0, 0) to (5, -24, 50)? If so are there values for \lambda and \mu such that \lambda<4, 5, 2>+ \mu<-5, 5, 3>= <5, -24, 50> and are there values for \lambda and \mu such that \lambda<4, 5, 2>+ \mu<-5, 5, 3>= <0, 0, 0>?
    Last edited by HallsofIvy; May 25th 2011 at 10:17 AM.
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