IDZ Ryabushko 3.1 Variant 8
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№1 Given four points A1 (6; 1; 1); A2 (4; 6; 6); A3 (4; 2; 0); A4 (1; 2; 6). 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 Make an equation for the plane passing through two parallel lines: .... and ....
№3 Find the projection of the point P (3; 1; –1) on the plane .....
№2 Make an equation for the plane passing through two parallel lines: .... and ....
№3 Find the projection of the point P (3; 1; –1) on the plane .....
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