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IDZ 3.1 - Option 2. Decisions Ryabushko AP
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Uploaded: 20.06.2020
Content: 2v-IDZ3.1.doc 133,5 kB
Product description
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;
1.2 A1 (3, -1, 2), A2 (-1, 0, 1), A3 (1, 7, 3), A4 (8, 5, 8)
2. Solve the following tasks
2.2 Create equation of the plane passing through the midpoint of the segment M1M2 perpendicular to this segment, if M1 (1, 5, 6), M2 (-1, 7, 10).
3. Solve the following tasks
3.2 Prove that the line (x + 1) / 2 = (y + 1) / - 1 = (z-3) / 3 is parallel to the plane of 2x + y - z = 0, and (x-2) / 2 = y / -1 = (z-4) / 3 line lies in the plane
Additional information
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent
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