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Finding a vector using scalar and vector projections

  1. Mar 9, 2013 #1
    1. The problem statement, all variables and given/known data

    Determine the vector(s) whose vector projection on u =< 1,2,2 > is v =< 3,6,6 > and its
    scalar projection on w =< 1,1,1 > is √3.

    2. Relevant equations
    Vector Projection of b onto a: (|b.a| \ |a|) * (1/ |a|) * a
    Scalar Projection: (|b.a| \ |a|)


    3. The attempt at a solution
    First started by finding the vector <a,b,3-b-c> (using the scalar projection equation), but don't know what else to do from there. Help please?
     
  2. jcsd
  3. Mar 10, 2013 #2

    tiny-tim

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    welcome to pf!

    hi user8899! welcome to pf! :smile:
    isn't the scalar projection just the magnitude of the vector projection? :wink:
     
  4. Mar 10, 2013 #3
    Hi, Thank you!

    well I substituted <a,b,3-b-c> into the vector projection equation, but I think my problem is the algebra... I'm not sure
     
  5. Mar 10, 2013 #4

    tiny-tim

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    what is your vector projection equation? :smile:
     
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