Version 3.1 Collection of 19 DHS DHS Ryabushko

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№1.19. Given four points A1 (8; -6 4); A2 (10, 5, -5); A3 (5, 6, -8); A4 (8; 10; 7). 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;
№2.19. A general equation of the plane passing through the point A (3, -4, 1) parallel to the coordinate plane Oxz.
№3.19. Show that the lines .... and ....; perpendicular.