IDZ 2.2 - Option 10. Decisions Ryabushko AP

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.
 1.10 a = 6i - 4j + 6k, b = 9i - 6j + 9k, c = i - 8k; a) 2a, -4b, 3c; b) 3b, -9c; a) 3a, -5c; g) a, b; d) 3a, -4b, -9c.

 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.
 2.10 A (-5, -4, -3), B (7, 3, -1), C (6, -2, 0), D (3, 2, -7); a) BCD; b) l = AD, B and C

 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.
 3.10 F = (-5, 4, 4), A (3, 7, -5), B (2, -4, 1)