Please answer the following questions in full:

1. Determine the scalar equation of a plane through the point (5, 0, 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 (3, -2, 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 F = (3,-1,4) +s(2,-1,5) + t(-3, 2,-2). 5. Determine if the point (-1, -1, 0) lies in the plane with equation 2x + 3y -4z + 5 = 0