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Parametric Equation

  1. Feb 28, 2014 #1
    1. The problem statement, all variables and given/known

    Determine parametric equations of the line that Is perpendicular to the lines L1= 3t-2
    2t
    3t

    L2= s-1
    2s-7
    3s-12

    And passes through the point of intersection of lines L1 and L2










    2. Relevant equations


    Parametric equation format:
    x= x_1 +at
    y= y_1 +bt
    z= z_1 +ct










    3. The attempt at a solution

    We'll I'm given 2 sets of lines, I know that for something to be perpendicular I have to have the negative reciprocal of the slope.

    But should my first step be to find the point of intersection of L1 and L2? Would I do this by solving a system of equations?
     
  2. jcsd
  3. Feb 28, 2014 #2
  4. Feb 28, 2014 #3

    Mark44

    Staff: Mentor

    Keep in mind that the lines are in three dimensions. If you have two vectors in space, a third vector that is perpendicular to the first two vectors can be obtained from the cross product.
     
  5. Feb 28, 2014 #4
    Im sorry do you Mind elaborating a little bit more for me?
    So does that mean I can choose any two vectors from those three lines and just cross? Do this for both L1 and L2?
     
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