IDZ 2.2 - Option 16. 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.
 1.16 a = -3i + 8j, b = 2i + 3j - 2k, c = 8i + 12j - 8k; a) 4a, -6b, 5c; b) -7a, 9c; a) 3b, -8c; r) b, c; d) 4a, -6b, 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.
 2.16 A (-6, 4, 5), B (5, -7, 3), C (4, 2, -8), D (2, 8, 3); a) ACD; b) l = AD, B and C

 3. Given three powers P, Q, R, applied to point A. Calculate: a) work done by the resultant of these forces, when the point of its application, moving rectilinearly moves to point B; b) the amount of time the resultant of these forces about point B.
 3.16 P = (-10, 6, 5), Q (4, -9, 7), R (5, 3, -3), A (4, -5, 9), B (4, 7, -5 )