Answer to Question #213718 in Analytic Geometry for prince

Question

(5.1) Find the vector form of the equation of the plane that passes through the point P0 = (1, −2, 3) and has normal vector ~n =< 3, 1, −1 >.

(5.2) Find an equation for the plane that contains the line x = −1 + 3t, y = 5 + 3t, z = 2 + t and is (6) parallel to the line of intersection of the planes x −2(y −1) + 3z = −1 and y = −2x −1 = 0.