Ryabushko A.P. IDZ 3.1 option 4

DHS-3.1
№1.4. Given four points A1 (2; 4; 3); A2 (1; 1; 5); A3 (4; 9; 3); A4 (3; 6; 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;
№2.4. Find the equation of the plane passing through the point A (2, -3, 5) parallel to the plane Oxy.
№3.4. Prove that the line .... is perpendicular to the line ..