Ryabushko A.P. IDZ 2.2 option 6

DHS - 2.2
№1.6. 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; e) verify whether the three vectors are coplanar. a (3, -2, 1); b (0; 2; 3); c (-3; 2; 1).
№2.6. The tops of the pyramids are at points A (3; 4; 2); B (-2; 3, -5); C (4; -3, 6); D (6; -5, 3) ...........
№3.6. Force F (3, -5, 7) attached to the point A (2, 3, -5). Calculate a) the work force in the case; when its point of application; moving in a straight line; moves to point B (0, 4, 3); b) module force moment about the point B.