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.
 1.8 a = 4i + 2j - 3k, b = 2i + k, c = -12i - 6j + 9k; a) 2a, 3b, c; b) 4a, 3b; a) b, -4c; g) a, c; d) 2a, 3b, -4c.

 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.
 2.8 A (7, 5, 8), B (-4, -5, 3), C (2, 3, 5), D (5, 1, -4); a) BCD; 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.
 3.8 F = (-9, 5, 7), A (1, 6, -3), B (4, 3, 5)

Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.