Ryabushko A.P. IDZ 2.2 option 3

DHS - 2.2
№1.3. 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, and d) to check whether the collinear or orthogonal two vectors; e) verify whether the three vectors are coplanar. a (2, -4, -2); b (7; 3, 0); c (3, 5, -7).
№2.3. The tops of the pyramids are at points A (1, 3, 1); B (-1; 4; 6); C (-2; -3; 4); D (3, 4, -4). .......
№3.3. Force F (2; 19; 4) is applied to point A (5; 3; 4). Calculate a) the work force in the case; when its point of application; moving in a straight line; moves to point B (6, -4, -1); b) module force moment about the point B.