IDZ 3.1 - Option 28. 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;
 1.28 A1 (2, 1, 7), A2 (3, 3, 6), A3 (2, 3, 9), A4 (1, 2, 5)

2. Solve the following tasks
 2.28 Write the equation of the plane through the origin perpendicular to the plane x + 5y-z + 7 = 0 and 3x-y + 2z-3 = 0

3. Solve the following tasks
 3.28 Write the equation of the line passing through the point M (2, 3, 1) is perpendicular to the line (x + 1) / 2 = y / -1 = (z-2) / 3