question_answer 47)

If the points (1, 1, p) and (?3, 0, 1) be equidistant rom the plane       then find the values of p.  

Answer:

Let  is the position vector of any point P (x, y, z) on the plane                         3x + 4y ? 12z + 13 = 0          It is given that points (1, 1, p) and (?3, 0, 1) are equidistant from the plane 3x + 4y ? 12z + 13 = 0                    or 20 ? 12p = ?8