IDZ 2.2 - Option 4. 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.
 1.4 a = -7i + 2k, b = 2i - 6j + 4k, c = i - 3j + 2k; a) a, -2b, -7c; b) 4b, 3c; a) 2a, -7c; r) b, c; d) 2a, 4b, 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.
 2.4 A (2, 4, 1), B (-3, -2, 4), C (3, 5, -2), D (4, 2, -3); a) ABD; b) l = AC, B 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.
 3.4 F = (-4, 5, -7), A (4, 2, 3), B (7, 0, -3)