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Homework Help: Finding a vector parallel to a plane

  1. Oct 2, 2011 #1
    1. The problem statement, all variables and given/known data
    Just a general question for studying purposes. How do you find a vector parallel to a plane?

    Let's say that we have a plane [tex]2x-3y-z=0[/tex]...I know that the perpendicular vector to this plane is [tex]<2,-3,-1>[/tex] but how do I use this information to determine a parallel vector?
  2. jcsd
  3. Oct 2, 2011 #2
    Well, you know of a vector that forms a right angle, i.e., is perpendicular to, the plane, so how would you find vectors that are perpendicular to the perpendicular?

    O.K, it's a mouthful. Consider a plane parallel to 2x-3y-z=0. What would be its equation? Remember the perspective of a plane as a set of vectors perpendicular
    to a given fixed vector.
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