IDZ 3.1 - Option 6. 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;
 1.6 A1 (0, 7, 1), A2 (2, 1, 5), A3 (1, 6, 3), A4 (3, -9, 8)

2. Solve the following tasks
 2.6 Write the equation of the plane passing through the points A (2; 5; -1), B (-3; 1; 3) parallel to the axis Oy

3. Solve the following tasks
 3.6 At what value of n lines (x + 2) / 3 = (y-1) / n = z / 1, parallel to the line x + yz = 0 xy-5z-8 = 0