Ryabushko A.P. IDZ 3.1 option 5

DHS - 3.1
№1.5. Given four points A1 (9, 5, 5); A2 (-3, 7, 1); A3 (5; 7; 8); A4 (6; 9; 2). 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 and
A1A2A3 plane.
№2.5. The equation of the plane passing through the axis Ox and the point A (2, 5, -1).
№3.5 Create parametric equations medians of a triangle with vertices A (3, 6, -7); B (-5, 1, -4); C (0; 2; 3); drawn from the point C.