# IDZ 2.2 - Option 3. Decisions Ryabushko AP

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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.
1.3 a = 2i - 4j - 2k, b = 7i + 3j, c = 3i + 5j - 7k; a) a, 2b, 3c; b) 3a, -7b; a) c, -2a; g) a, c; d) 3a, 2b, 3c.

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.
2.3 A (1, 3, 1), B (-1, 4, 6), C (-2, -3, 4), D (3, 4, 4); a) ACD; b) l = BC, A 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.
3.3 F = (2, 19, -4), A (5, 3, 4), B (6, -4, -1)