Version 3.1 Collection of 27 DHS DHS Ryabushko

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№1.27. Given four points A1 (2; 1; 6); A2 (1, 4, 9); A3 (2, -5, 8); A4 (5, 4, 2). Be the equation: a) plane A1A2A3; b) direct A1A2; c) direct A4M perpendicular to the plane 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.
№2.27. Find the equation of the plane passing through point A (2, 3, -1); B (1, 1, 4); perpendicular to the plane x - 4y + 3z + 2 = 0.
№3.27. Find the equation of the line passing through the point E (3, 4, 5) parallel to the axis Ox.