Ryabushko A.P. IDZ 3.1 option 2

№1.2. Given four points A1 (3; 1; 2); A2 (-1; 0; 1); A3 (1; 7; 3); A4 (8; 5; 8). 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 Oxy plane A1 and A2A3;
№2.2. Find the equation of the plane passing through the middle of the segment M1M2 perpendicular to this segment if M1 (1, 5, 6); M2 (-1; 7; 10).
№3.2. Prove that the straight line parallel to the plane ...... 2x + y - z = 0; ..... and the line lies in the plane.