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Vectors Parallel and Perpendicular

  1. Sep 7, 2011 #1
    1. The problem statement, all variables and given/known data


    Let vector v=<1,-2, 6> and vector w=<30,-11, -2>. Represent vector w in the form of

    w=g+h, where g is parallel to v and h is perpendicular to v. Using the dot product


    2. Relevant equations



    3. The attempt at a solution
    I don't even know where to begin. I think you maybe do v*w first but I don't know.
     
  2. jcsd
  3. Sep 7, 2011 #2

    micromass

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    Do you know the general form of vectors parallel to v? Do you know the general form of vectors perpendicular to v?
     
  4. Sep 7, 2011 #3
    In most cases, yes. But in this instant, I don't know where to begin. What throws me off is the w=g+h. I know what the question is asking I just don't know how it is asking it. The question is wanting me to find vector g< , , , > and vector h< , , , >
     
  5. Sep 8, 2011 #4

    micromass

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    Can you give me a vector perpendicular to v?
     
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