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Finding the intersection points of the two lines in space

  1. Feb 26, 2012 #1
    given the lines in space

    L1 : x = 2t + 1, y = 3t + 2, z = 4t + 3
    L2 : x = s + 2, y = 2s + 4, z = -4s – 1
    Find the point of intersection of L1 and L2.
    How do i solve this?
     
  2. jcsd
  3. Feb 26, 2012 #2
    set the x's equal to each other and solve for either t or s, then plug in to the other variables to get the coordinates
     
  4. Feb 26, 2012 #3
    Another method .............
    Set the x's and y's equal to each other
    2t+1 = s+2
    3t+2 = 2s+4
    solve the system for t and s
    Plug the resulting values for t and s in to
    z=4t+3 and z = -4s-1
    to be sure they give the same value for z
    If they do not, the lines are skew
    If they do, then the values for t and s give the
    coordinates of the intersection point for x,y and z
     
  5. Feb 26, 2012 #4
    thank u very much mr. paulfr and woopydalan...i appreciate your replies to my question.. thank u very much =)
     
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