Ryabushko A.P. IDZ 2.2 option 19

DHS - 2.2
№1.19. Given the vector. 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; d) check whether coplanar three vectors: a (-2; 4; -3); b (5; 1; -2); c (7, 4, -7).
№2.19. The tops of the pyramids are located at points A (-7; -6; -5); B (5; 1; 3); C (8, -4, 0); D (3, 4, -7) .....
№3.19. Given three powers P (7, -5, 2); Q (3; 4; -8); R (-2; -4; 3); applied to point A (-3, 2, 0). Calculate a) the work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (6, 4, 3); b) the value of
the resultant moment of the forces about point B.