IDZ Ryabushko 3.1 Variant 30
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- №1 Given four points A1 (0; 4; 5); A2 (3; –2; 1); A3 (4; 5; 6); A4 (3; 3; 2). Make equations: a plane A1A2A3; b) straight line A1A2; c) a straight line A4M perpendicular to the plane A1A2A3; d) line A3N parallel to line A1A2; d) a plane passing through point A4, perpendicular to the 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 Determine at what value C of the plane 3x - 5y + Cz - 3 = 0; and x - 3y + 2z + 5 = 0 will be perpendicular.
- №3 Find a point symmetric to the point M (4; 3; 10) with respect to the line ....