Calculus 2 Lecture Notes, Section 10.4

Find the intersection of the planes 2x + 7y – z = 5 and 3x – 5y + z = 4. Distance between a point and a plane: Let P1 = (x0, y0, z0) be a point in the plane described by ax + by + cz + d = 0, and P0 = (x1, y1, z1) be a point off the plane. Then . a = is a normal vector to the plane, and the distance from the point to the plane is . Practice: ................
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