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IDZ Ryabushko 3.1 Variant 7

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IDZ Ryabushko 3.1 Variant 7

№1 Given four points A1 (5; 5; 4); A2 (1; –1; 4); A3 (3; 5; 1); A4 (5; 8; –1). Draw up the equations: a) plane A1A2A3; b) straight line A1A2; c) direct A4M; perpendicular to the plane A1A2A3; d) direct A3N; parallel line A1 A2; 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.

No. 2. Make an equation for the plane passing through point A (3; 4; 0) and the line .....

№3 Find the point of intersection of the line .... and the plane 2x + 3y + z - 1 = 0.

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