IDZ 3.1 - Option 9. Decisions Ryabushko AP

1. Given four points A1 (x1, y1, z1), A2 (x2, y2, z2), A3 (x3, y3, z3), A4 (x4, y4, z4)
 Be the equation:
 a) a plane A1A2A3; b) direct A1A2;
 c) direct A4M perpendicular to the plane A1A2A3;
 g) direct A3N, parallel line A1A2;
 d) a plane passing through the point perpendicular to the line A4 A1A2.
 Calculated:
 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;
 1.9 A1 (7, 5, 3), A2 (9, 4, 4), A3 (4, 5, 7), A4 (7, 9, 6)

2. Solve the following tasks
 2.9 Be general equation of the line formed by the intersection of the plane 3x - y - 7z + 9 = 0 plane passing through the axis Ox and the point A (3, 2, -5)

3. Solve the following tasks
 3.9 At what value of C plane 3x - 5y + Cz - 3 = 0 and x + 3y + 2z + 5 = 0 perpendicular?