Ryabushko A.P. IDZ 3.1 option 28

№1.28. Given four points A1 (2; 1; 7); A2 (3; 3, 6); A3 (2, -3, 9); A4 (1; 2; 5). Be the equation: a) plane A1A2A3; b) direct A1A2; c) direct A4M perpendicular to the plane A1A2A3; d) A3N straight, parallel to the line A1A2; d) a plane passing through the 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.
№2.28. Find the equation of the plane through the origin perpendicular
planes x + 5y - z + 7 = 0 and 3x - y + 2z - = 3 0.
№3.28. Find the equation of the line passing through the point M (2, 3, 1) is perpendicular to the line .....