Ryabushko A.P. IDZ 2.2 option 5

DHS - 2.2
№1.5. 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 dot product of two vectors; g) check whether collinear or orthogonal two vectors; e) verify whether the three vectors are coplanar. a (-4; 2; 1); b (3; 5; -2); c (0; 1; 5).
№2.5. The tops of the pyramids are located at points A (-5; -3; -4); B (1, 4, 6); C (3, 2, -2); D (8, -2, 4). ..........
№3.5. Force F (4, 11, -6) is applied to point A (3; 5; 1). Calculate a) the work force in the case; when its point of application; moving in a straight line; moves to point B (4, -2, -3); b) module force moment about the point B.