The equations of the planes are or and ...(1) and ...(2) These are parallel planes. Let (x1, y1 , z1) be any point on plane (1). ∴ x1 + 2y1 + 3z1 + 7 - 0 or x2 + 2y1 + 3z1 = –7 ...(3) Length of perpendicular from (x1 ,y1 , z1) to the plane (2) is
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Long Answer Type
259.Find the length and coordinates of the foot of the perpendicular from the point (1, 1, 2) to the plane 2x – 2y + 4z + 5 = 0.
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260.Find the distance between the point P(6, 5, 9) and the plane determined by the points A(3, –1, 2), B(5, 2, 4) and C(– 1, – 1, 6).