IDZ 3.1 - Option 25. 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;
 1.25 A1 (4, 3, 5), A2 (1, 9, 7), A3 (0, 2, 0), A4 (5, 3, 10)

2. Solve the following tasks
 2.25 Create equation of the plane that passes through the point M (2, -3, -4) and the cuts on the coordinate axes nonzero segments of equal size.

3. Solve the following tasks
 3.25 For what values of B and D, direct x-2y + z-9 = 0, 3x + By + z + D = 0 in the plane Oxy?