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(b) Intersection of 3 planes: example 1

  1. Plot the planes with equations: x−2y+4z=4 x+y−z=2 x+3y+z=6
  2. Use the Intersect two surfaces tool to find the lines of intersection of two of the pairs of planes.
  3. Use the Intersect tool to find the point of intersection of these lines.

What are the coordinates of the point of intersection?

How can you use a matrix to find the point of intersection of 3 planes?