IDZ 3.1 - Option 26. 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;
 1.26 A1 (3, 2, 5), A2 (4, 0, 6), A3 (2, 6, 5), A4 (6, 4, 1)

2. Solve the following tasks
 2.26 At what value of n and A direct x / 3 = (y-5) / n = (z + 5) / 6 is perpendicular to the plane Ax + 2y-2z-7 = 0?

3. Solve the following tasks
 3.26 Create equation of the plane passing through M0 (2, 3, 3) parallel to the two vectors a = (- 1, -3, 1) and b = (4, 1, 6)