IDZ 3.1 - Option 16. 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;
 1.16 A1 (1, 8, 2), A2 (5, 2, 6), A3 (5, 7, 4), A4 (4, 10, 9)

2. Solve the following tasks
 2.16 Find the intercept on a coordinate axis plane passing through the point M (2, 3, 3) parallel to the plane 3x + y-3z = 0

3. Solve the following tasks
 3.16 For what values of A and B plane Ax + By + 6z-7 = 0 is perpendicular to the line (x-2) / 2 = (y + 5) / - 4 = (z + 1) / 3