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IDZ Ryabushko 3.1 Variant 25

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IDZ Ryabushko 3.1 Variant 25

No. 1 Given four points A1 (4; 3; 5); A2 (1; 9; 7); A3 (0; 2; 0); A4 (5; 3; 10). Draw up the equations: a) plane A1A2A3; b) straight line A1A2; c) direct A4M; perpendicular to the plane A1A2A3; d) direct A3N; parallel line A1A2; e) the plane passing through point A4; perpendicular to the straight 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 that passes the point M (2; –3; –4) and cuts off non-zero segments of the same length on the coordinate axes.

No. 3 At what values ​​of B and D is the line x – 2y + z – 9 = 0; 3x + By + z + D = 0; lies in the Oxy plane.

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