Ryabushko A.P. IDZ 3.1 option 8

Ryabushko A.P. IDZ 3.1 option 8

№1.8. Given four points A1 (6; 1; 1); A2 (4, 6, 6); A3 (4, 2, 0); A4 (1; 2; 6). Be the equation: a) plane A1A2A3; b) direct A1A2; c) direct A4M; perpendicular to the plane of A1A2A3; g) direct A3N; parallel line A1A2; d) a plane passing through 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.
№2.8. Find the equation of the plane passing through the two parallel lines: .... and ....
№3.8. Find the projection of point P (3, 1, -1) in the plane .....

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