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Parametric Equation

  1. Sep 13, 2011 #1
    1. The problem statement, all variables and given/known data

    Find the parametric equation for the line through (1,0,-1) and parallel to the line 1/3(x-4)=1/2y=z+2

    2. Relevant equations

    Vector equation - r=ro+tv

    Perhaps the scaler equation? I'm not entirely sure.

    3. The attempt at a solution

    I'm not sure where to begin; I don't see any examples in the textbook to go on. I'm not sure if I can read the line given to me and pull out points to use and then create a vector with it.

    Thanks
     
  2. jcsd
  3. Sep 13, 2011 #2

    ehild

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    Find the direction vector of the original line from the equations

    1/3 (x-4)=t, 1/2 y =t, z+2=t, expressing x, y, z with the parameter t.

    ehild
     
  4. Sep 13, 2011 #3
    So when the line is written with the variables all equal to each other, I am to assume each one is actually equal to t?
     
  5. Sep 13, 2011 #4

    ehild

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    The above expressions of the coordinates x,y,z are all equal, so each of them is equal to the same number, call it t...

    ehild
     
  6. Sep 13, 2011 #5
    Ah. I read through the text again and I think I understand how to read the equation better. I was looking for a set of points, but really I can get a vector out of it.

    Anyway, I believe the answer is:
    x= 1+3t
    y= 2t
    z= -1+t

    Hopefully I am correct.
     
  7. Sep 13, 2011 #6
    Ah. I read through the text again and I think I understand how to read the equation better. I was looking for a set of points, but really I can get a vector out of it.

    Anyway, I believe the answer is:
    x= 1+3t
    y= 2t
    z= -1+t

    Hopefully I am correct.
     
  8. Sep 13, 2011 #7

    ehild

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    You are! Good job!

    ehild
     
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