1. The problem statement, all variables and given/known data Find the point P on the plane given by 5x - 14y + 2z + 9 = 0 which is nearest to the point Q = (-2, 15, -7). 2. Relevant equations Distance formulas for distance between the plane and the origin and the plane and a point not on a plane. And of course, the Cartesian equation of a plane. 3. The attempt at a solution I thought the closest point to Q must be along the normal vector to the plane. The vector would be when P - Q is a scalar multiple of N. My problem is that the answer given was (-1/25)(5, -14, 2). I don't understand this answer since it's independent of Q. Is the answer wrong?