Ryabushko A.P. IDZ 3.1 option 25

DHS - 3.1
№ 1.25. Given four points A1 (4; 3; 5); A2 (1; 9; 7); A3 (0, 2, 0); A4 (5; 3, 10). 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.
№2.25. The equation of a plane that passes the point M (2, -3, -4) and the cuts on the coordinate axes nonzero segments of equal length.
№3.25. For what values of B and D line x-2y + z-9 = 0; 3x + By + z + D = 0; It lies in the plane Oxy.