IDZ 3.1 - Option 27. Decisions Ryabushko AP

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Uploaded: 25.01.2014
Content: 27v-idz3.1.doc (95,5 kB)

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1. Given four points A1 (x1, y1, z1), A2 (x2, y2, z2), A3 (x3, y3, z3), A4 (x4, y4, z4)
 Be the equation:
 a) a plane A1A2A3; b) direct A1A2;
 c) direct A4M perpendicular to the plane A1A2A3;
 g) direct A3N, parallel line A1A2;
 d) a plane passing through the point perpendicular to the line A4 A1A2.
 Calculated:
 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;
 1.27 A1 (2, 1, 6), A2 (1, 4, 9), A3 (2, -5, 8), A4 (5, 4, 2)

2. Solve the following tasks
 2.27 Create equation of the plane passing through point A (2, 3, -1), B (1, 1, 4) perpendicular to the plane x-4y + 3z + 2 = 0

3. Solve the following tasks
 3.27 Write the equation of the line passing through the point E (3, 4, 5) parallel to the axis Ox.

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Target decided to use formula editor)

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