# Version 3.1 Collection of 30 DHS DHS Ryabushko

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# Description

№1.30. Given four points A1 (0; 4; 5); A2 (3, -2, 1); A3 (4; 5; 6); A4 (3, 3, 2). 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.
№2.30. Determine at what value with the plane 3x - 5y + Cz - 3 = 0; and x - 3y + 2z + 5 = 0 are perpendicular.
№3.30. Find point symmetric M (4, 3, 10) relative to the line ....