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IDZ 3.1 - Option 26. Decisions Ryabushko AP
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Uploaded: 20.06.2020
Content: 26v-IDZ3.1.doc 124 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;
1.26 A1 (3, 2, 5), A2 (4, 0, 6), A3 (2, 6, 5), A4 (6, 4, 1)
2. Solve the following tasks
2.26 At what value of n and A direct x / 3 = (y-5) / n = (z + 5) / 6 is perpendicular to the plane Ax + 2y-2z-7 = 0?
3. Solve the following tasks
3.26 Create equation of the plane passing through M0 (2, 3, 3) parallel to the two vectors a = (- 1, -3, 1) and b = (4, 1, 6)
Additional information
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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