question_answer 21)

Find the Cartesian equation of the following planes       (a)       (b)       (c)  

Answer:

(a)       Let  be the position vector of any point P(x, y, z) on the plane       On putting        we get                   which is the required Cartesian equation of the plane.             Let  be the position vector of any points P(x, y, z) on the plane        we get             2x + 2y ? 4y =1       which is the required equation of the plane.             Let  be the position vector of any point P(x, y, z) on the plane        we get       = 15        (s ? 2t) x + (3 ? t) y + (2s + t) z = 15       which is the required equation of the plane.