Hello I need some help with these 5 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

1. Determine the scalar equation (Ax + By + Cz + D = 0) of a plane through the point (4, 1, 2) and having normal vector = (3, -2, 2). 2. Find the scalar equation of the plane through the points Q(2, 3, -1), R(-1, 5, 2) and S(4, 2, 2). 3. A plane contains the point (1, 1, 4) and is perpendicular to the line with vector equation F= (1, -1, -2) + t(2, -3, 1). Determine the scalar equation of the plane. 4. Determine the scalar equation of the plane with vector equation = (3,-1,4) +s(2,-1, 5) + t(-3, 2,-2). 5. Determine if the point P(1, 2, 3) lies in the plane with equation 2x + 3y - 4z + 4 = 0