Q: 4 - 5 marks. Use Lagrange multiplier to find the distance from the point P = (2, -1, 0) to the plane 2x + y - z = 0. Hint: The distance from a point P to a plane is the minimum of the distance between a point on the plane and the point P, so your objective function should be the distance from P to a point Q, and the constraint should describe the fact that Q is on the plane 2x + y - z = 0. By geometric meaning, the minimum exists and is reached at a unique point, so the Lagrange multiplier should give you the correct answer. Uploaded files