Option 16 DHS 3.1
Content: 3.1v16.pdf (60.69 KB)
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№1.16. There are four points A1 (1; 8; 2); A2 (5; 2; 6); A3 (5; 7; 4); A4 (4; 10; 9). Create equations: a) plane A1A2A3; b) straight A1A2; c) straight A4M; perpendicular to the A1A2A3 plane; d) straight A3N; parallel straight 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 OXU coordinate plane and the A1A2A3 plane.
No. 2.16. Find the values of the segments cut off on the coordinate axes by the plane passing through the point M (2; –3; 3) parallel to the plane 3x + y – 3z = 0.
No. 3.16. For what values of A and B is the plane Ax + By + 6z - 7 = 0 perpendicular to the straight line ...?
No. 2.16. Find the values of the segments cut off on the coordinate axes by the plane passing through the point M (2; –3; 3) parallel to the plane 3x + y – 3z = 0.
No. 3.16. For what values of A and B is the plane Ax + By + 6z - 7 = 0 perpendicular to the straight line ...?
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