Reshebnik Arutyunov Yu N11 Setting Higher Mathematics
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The finished solution. Reshebnik Arutyunov. Task №11.
11-20. Given the coordinates of the vertices of the pyramid A1A2A3A4:
Find: 1) the length of the edges A1A2; 2) the angle between the edges A1A2 and A1A4; 3) the angle between the edge and the edge A1A4 A1A2A3; 4) area of the face A1A2A3; 5) The volume of the pyramid; 6) The equation of the line A1A2; 7) the equation A1A2A3 plane; 8) the equation of height is lowered from the top of the A4 to the brink A1A2A3. Make a drawing.
- A1 (4; 2; 5), A2 (0, 7, 2), A3 (0, 2, 7), A4 (1, 5, 0)
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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)