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Parallel Planes and Points (3D)

  1. Apr 19, 2009 #1
    1. The problem statement, all variables and given/known data

    Point A (3,2,-1) is equidistant from two planes (parallel), known as P1 and P2. P1 has the equation 2x-y+2z+4 = 0. Find the equation of P2.


    2. Relevant equations

    D = abs val(ax_o + by_o + cz_o + d) divided by sqrt (a^2 + b^2 + c^2)

    3. The attempt at a solution

    I used the distance formula and figured out that the distance between the point and either plane is 2. But what do I do now? I know that the plane I'm looking for, since it's parallel, has a perpendicular vector that is the same as P1, if not a scalar multiple. But what next? Thanks in advance.
     
  2. jcsd
  3. Apr 19, 2009 #2
    Compute a point on the other plane.
     
  4. Apr 19, 2009 #3
    how do i do that?
     
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