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IDZ 2.2 - Option 13. Decisions Ryabushko AP
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Uploaded: 15.06.2020
Content: 13v-IDZ2.2.doc 138 kB
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1. Given the vectors a, b, and c. It is necessary to: a) calculate the mixed product of three vectors; b) Find the unit vector product; c) to calculate the inner product of two vectors; g) check whether collinear or orthogonal two vectors; e) verify whether the three vectors are coplanar.
1.13 a = -5i + 2j - 2k, b = 7i - 5k, c = 2i + 3j - 2k; a) 2a, 4b, -5c; b) -3b, 11c; a) 8a, -6c; g) a, c; d) 8a, -3b, 11c.
2. The top of the pyramid are located at points A, B, C and D. Calculate: a) the area of the said faces; b) cross-sectional area, passing through the middle of the rib l and two top of the pyramid; c) the volume of the pyramid ABCD.
2.13 A (-4, -7, -3), B (-4, -5, 7), C (2, 3, 3), D (3, 2, 1); a) BCD; b) l = BC, A and D
3. Given three powers P, Q, R, applied to point A. Calculate: a) work done by the resultant of these forces, when the point of its application, moving rectilinearly moves to point B; b) the amount of time the resultant of these forces about point B.
3.13 P = (9, 3, 4), Q (5, 6, -2), R (-4, -2, 7), A (-5, 4, -2), B (4, 6, -5)
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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