question_answer 23)

Find the vector and Cartesian equation of the planes. (a)   that passes through the point (1, 0, ?2) and the normal to the plane is (b)   that passes through the point (1, 4, 6) and the normal vector to the plane is  

Answer:

(a) Let  be the positive vector of the point (1, 0, ?2)              required vector equation of the plane is                         = 3             To find cartesian equation       Let be the position vector of point P(x, y, z)        in equation (1), we get                   which is the required Cartesian equation of plane. (a)   Let  be the position vector of the point (1, 4, 6)  required vector equation of the plane is               ?. (1) To find Cartesian equation Let be the position vector of the point P(x, y, z).  in equation (1), we get . which is the required Cartesian equation of plane.