Ryabushko A.P. IDZ 3.1 option 16

№1.16. Given four points A1 (1; 8; 2); A2 (5; 2; 6); A3 (5; 7; 4); A4 (4; 10; 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.
№2.16. Find the intercept on the coordinate axes plane passing through the point M (2, -3, 3) parallel to the plane 3x + y-3z = 0.
№3.16. For what values of A and B of the plane Ax + By + 6z - 7 = 0 is perpendicular to the line ...?