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.
1.12 a = -4i + 3j - 7k, b = 4i + 6j - 2k, c = 6i + 9j - 3k; a) -2a, b, -2c; b) 4b, 7c; a) 5a, -3b; r) b, c; d) -2a, 4b, 7c.
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.
2.12 A (7, 4, 9), B (1, -2, -3), C (-5, -3, 0), D (1, 3, 4); a) ABD; b) l = AB, C and D
3. The force F applied to point A. Calculate: a) operating force F when the point of its application, moving rectilinearly moves to point B; b) the time unit of the force F about the point B.
3.12 F = (2, 2, 9), A (4, 2, -3), B (2, 4, 0)
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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