Ryabushko A.P. IDZ 3.1 option 13

DHS - 3.1
№1.13. Given four points A1 (4; 6; 5); A2 (6; 9; 4); A3 (2; 10; 10); A4 (7; 5; 9). Be the equation: a) plane A1A2A3; b) direct A1A2; c) direct A4M; perpendicular to the plane of A1A2A3; g) direct A3N; parallel line A1A2; d) a plane passing through A4; perpendicular to the line A1A2; Calculate: 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.
№2.13. Find the equation of the plane; passing through the origin perpendicular to the two planes 2x-3y + z-1 = 0.
x-y + 5z + 3 = 0.
№3.13. Check whether the lie on a straight line point A (0, 0, 2), B (4, 2, 5); and C (12; 6; 11).