IDZ Ryabushko 3.1 Option 22
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Section: Chapter 3. Planes and Lines
Topic: Plane and line in space
Description: Drawing up equations of a plane and a straight line according to various conditions: three points, a point and a normal, a point and a direction vector, perpendicularity, parallelism. Calculation of angles between a straight line and a plane, between planes.
Tasks:
1. Given four points A₁(x₁, y₁, z₁), A₂(x₂, y₂, z₂), A₃(x₃, y₃, z₃), A₄(x₄, y₄, z₄). Make up the equations: a) plane A₁A₂A₃; b) straight line A₁A₂; c) straight line A₄M perpendicular to plane A₁A₂A₃; d) straight line A₃N parallel to straight line A₁A₂; e) plane passing through point A₄ perpendicular to straight line A₁A₂. Calculate: f) the sine of the angle between straight line A₁A₄ and plane A₁A₂A₃; g) the cosine of the angle between the coordinate plane Oxy and plane A₁A₂A₃.
2. Find the values of the segments cut off on the coordinate axes by a plane passing through point M parallel to a given plane.
3. Prove the parallelism of lines.
The complete solution includes:
• Complete solution to all 3 tasks of the option
• Detailed explanations for each step
• All formulas and calculations
• Format to choose from: PDF or Word (can be edited)
• Available for download immediately after payment
Main features
- Content type File
- Content description 58,15 kB
- Updated on the site 19.04.2024
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IDZ Ryabushko 3.1 Option 22
Cumulative discount
| 200 $ | the discount is 40% |
| 150 $ | the discount is 30% |
| 100 $ | the discount is 25% |
| 70 $ | the discount is 20% |
| 40 $ | the discount is 15% |
| 20 $ | the discount is 10% |
| 10 $ | the discount is 7% |
| 5 $ | the discount is 3% |
Amount of purchases from the seller: $
Your discount: %
Cumulative discount
| 200 $ | the discount is 40% |
| 150 $ | the discount is 30% |
| 100 $ | the discount is 25% |
| 70 $ | the discount is 20% |
| 40 $ | the discount is 15% |
| 20 $ | the discount is 10% |
| 10 $ | the discount is 7% |
| 5 $ | the discount is 3% |
Amount of purchases from the seller: $
Your discount: %
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