Ryabushko A.P. IDZ 2.2 option 16

DHS - 2.2
№1.16. Given the vector should be: a) to 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; d) check whether coplanar three vectors: a (-3; 8; 0); b (2; 3; -2); c (8; 12; -8).
№2.16. The tops of the pyramids are located at the points of points A (-6; 4; 5); B (5, -7, 3); C (4, 2, -8); D (2, 8, 3) .....
№ 3.16. Given three forces P (-10; 6: 5); Q (4, -9, 7); R (5; 3, -3); applied to point A (4, -5, 9). Calculate a) the work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (4, 7, -5); b) the value of
the resultant moment of the forces about point B.