No. 1 Given four points A1 (6; 6; 5); A2 (4; 9; 5); A3 (4; 6; 11); A4 (6; 9; 3). Draw up the equations: a) plane A1A2A3; b) straight line A1A2; c) a straight line A4M perpendicular to the plane A1A2A3; d) line A3N parallel to line A1A2; d) a plane passing through point A4, perpendicular to the line A1A2. Calculate: e) the sine of the angle between the straight line A1A4 and the plane A1A2A3; g) the cosine of the angle between the Ohu coordinate plane and the A1A2A3 plane;

№2 Make an equation for the plane passing through the point M (1; –1; 2) perpendicular to the segment M1M2; if M1 (2; 3; –4); M2 (–1; 2; –3).

№3 Show that the line is parallel to the plane x + 3y - 2z + 1 = 0; and the line x = t + 7; y = t - 2; z = 2t + 1 lies in this plane.