Ryabushko A.P. IDZ 3.1 option 3

DHS-3.1
№1.3. Given four points A1 (3; 5; 4); A2 (5; 8; 3); A3 (1, 2, -2); A4 (-1, 0, 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 and the plane Oxy A1A2A3;
№2.3. Find the distance from the point to the plane.
№3.3. Write the equation of a straight line; passing through the point M (1, -3, 3) and forming an angle with the coordinate axes, respectively 60; 45 and 120.