see a good discussion of a similar problem here:
http://math.stackexchange.com/questions/199475/find-an-equation-of-the-plane-passing-through-2-points-and-perpendicular-to-anot
google is your friend.
Determine the Cartesian equation of each of the following planes:
b) through the points (3,0,1) and (o,1,-1), and perpendicular to the plane with equation x-y-z+1=0
My teacher told me to find a direction vector, cross that with the normal, and set up my cartesian equation. I don't really understand why we do this though?
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