Ryabushko A.P. IDZ 3.1 option 9

№1.9. Given four points A1 (7; 5; 3); A2 (9; 4, 4); A3 (4; 5; 7); A4 (7; 9; 6). Be the equation: a) plane A1A2A3; b) direct A1A2; c) direct A4M; perpendicular to the plane of A1A2A3; g) direct A3N; parallel line A1A2; d) a plane passing through A4; perpendicular to the line A1A2. Calculate: e) The sine of the angle between the line and the plane A1A4 A1A2A3; g) the cosine of the angle between the coordinate plane and the plane Oxy A1A2A3.
№2.9. Create general equation of the line formed by the intersection of the plane 3x - y - 7z + 9 = 0; with a plane passing through the axis Ox and the point A (3, 2, -5).
№3.9. At what value of C plane 3x - 5y + Cz - 3 = 0; and x + 3y + 2z + 5 = 0 perpendicular.