Ryabushko A.P. IDZ 3.1 option 10

DHS - 3.1
№1.10. Given four points A1 (6; 8; 2); A2 (5; 4; 7); A3 (2; 4; 7); A4 (7; 3, 7). 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.
№2.10. The equation of the plane in the "segments", if it passes through the point M (6; -10, 1) and cuts on the Ox axis length a = -3; and on the axis Oz - the segment c = 2.
№3.10. At what value of A plane Ax + 3y- 5z + 1 = 0 is parallel to line .....