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?

1 answer

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.