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Homework Help: Line Intersection

  1. Oct 26, 2004 #1
    Find symmetric equations of the line that passes through the point (0,1,2) and meets each of the lines x = y = z + 2 and x/-2 = (y+3)/1 = z/3.

    Those equations can be written as:
    r = (0, 0, 2) + t(1, 1, 1)
    r = (0, -3, 0) + s(-2, 1, 3)

    Now, I can't seem to find any direction to go with this. I tried a whole lot of different things that all eventually led nowhere. First, I gave co-ordinates to the intersection points and then i created to slopes in between these points. But i eventually came up with equations with like 8 variables in them so I couldn't figure that one out. Can someone lead me in some sort of direction? Any would would be appreciated.
  2. jcsd
  3. Oct 26, 2004 #2
    Btw, i do have the solution,

    x/2 = (y-1)/-1 = (z-2)/-2

    if anyone is curious.
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