Independent work RFEI Mathematics №2 20 tasks

Replenishment date: 14.06.2013
Content: matematika_samost2_20_z.rar (231.14 KB)
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Description
Independent work number 2 Mathematics 20 assignment.
Answers to 20 tasks are given, in the form of a table.
All tasks are contained in a separate file.
Tasks for comparison:

1. Determine the beginning of the vector a = {2; -3; -1}, if its end coincides with the point (1; -1; 2).
A) (1; 2; -3);
B) (-1; 2; 3);
B) (-1; -2 3).
2. Find the length of the vector ...
3. Find the angle between vectors a and b, if a = (1,2,3), b = (6,4, -2) ...
4. Find the angle between vectors a and b if a = 3i + 4j + 5k, b = 4i + 5j-3k.
5. At what value of m will the vectors a = mi + j and b = 3-i-3j — 4k be perpendicular? A) m = 1; B) m = 0; B) m = 3
6. Calculate the area of ​​the parallelogram built on the vectors a = (2; 4) and b = (5; -3).
A) S = 25;
B) S = 26;
B) S = 14.
7. The tops of the pyramid are located at points A (2; 1; -1), B (3; 0; 1), C (2; -1; 3), D (0; -7; 0). Find the height of the pyramid,

dropped from the top D.

...

17. Find the coordinates of the foci of the hyperbola ...
18. Find the coordinates of the focuses of the ellipse ...
19. Find the eccentricity of the ellipse ...
20. Find the sum of the lengths of the major and minor semiaxes of the ellipse ...
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