A mobile tower is situated at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, -1, 1) and C(1, 2, 1) on it. The mobile tower is tied with three cables from the points A, B and C such that it stands vertically on the ground. The top of the tower is at point P(2, 3, 1) as shown in the figure below. The foot of the perpendicular from the point P on the plane is at the point Q (43/29, 77/29, 9/29) Answer the following questions.

Equation of a Plane Passing Through Three Points, Distance of a Point from a Plane

Find the image of the point (3,−2, 1) in the plane 3x − y + 4z = 2

TextDistance of a Point from a Plane

The distance of the point 2i + j − k from the plane r·(i − 2j + 4k) = 9 will be:

MCQ (Single)Distance of a Point from a Plane