IDZ Ryabushko 3.1 Variant 10

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IDZ Ryabushko 3.1 Variant 10

№1 Given four points A1 (6; 8; 2); A2 (5; 4; 7); A3 (2; 4; 7); A4 (7; 3; 7). 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) a 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 Draw up the equation of the plane in “segments” if it passes through the point M (6; –10; 1) and cuts off the segment a = –3 on the Ox axis; and on the axis Oz - the segment with = 2.

No. 3 For what value of A does the plane Ax + 3y– 5z + 1 = 0 parallel to the line .....


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