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Find the equation of the line that passes through the point (2,3,1) and is parallel to the line of intersection of the planes,
x + 2y -3z = 4
and
x - 2y + z = 0
  • x = 2+t, y = 3+t, z = 1-t
  • [(x-2)/2] = [(y-3)/3] = [(z-1)/1]
  • [(x+2)/2] = [(y+3)/3] = [(z+1)/1]
  • [(x+2)/1] = [(y+3)/1] = [(z+1)/1]
  • Position vector p = 2i+3j+k and direction v = i+j+k.
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    Carlos Rodriguez <carlos@math.albany.edu>
    This problem was contributed by a student. It is offered as it is with no warranty of any kind
    Last modified:Tue Sep 26 10:41:41 GMT-0400 (EDT) 2000