Ryabushko A.P. IDZ 3.1 option 26

Ryabushko A.P. IDZ 3.1 option 26

DHS - 3.1
№1.26. Given four points A1 (3, 2, 5); A2 (4, 0, 6); A3 (2; 6; 5); A4 (6; 4; 1). 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.
№2.26. For which values of n and A direct x / 3 = (y-5) / n = (z + 5) / 6 perpendicular to the plane Ax + 2y-2z-7 = 0?
№3.26. The equation of the plane passing through the point of M0 (2, 3, 3) parallel to the two vectors a = (- 1, -3, 1); b = (4, 1, 6).

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