Find parametric equations and symmetric equations for the line

  1. 1. The problem statement, all variables and given/known data

    Find parametric equations and symmetric equations for the line through P0 and perpendicular to both given vectors. (P0 corresponds to t = 0.)
    P0 = (1, 1, 0)
    i + j and j + k

    2. Relevant equations



    3. The attempt at a solution


    For the symmetric equations, I did this:

    (i + j) x (j + k) = k - j + i = <1,-1,1>.

    So, the symmetric equations are given by
    (x - 1)/1 = (y - 1)/(-1) = (z - 0)/1.

    I don't know how to find parametric equation.
     
  2. jcsd
  3. Is it 1+t, 1-t and t?
     
  4. LCKurtz

    LCKurtz 8,404
    Homework Helper
    Gold Member

    Just set each fraction in your symmetric form equal to t and solve for x, y, and z, respectively. You should have x, y, and z in your equations with t.
     
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