Ryabushko A.P. IDZ 2.2 option 7

DHS - 2.2
№1.7. 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 (4; 1; 3); b (2, 3, -5); c (7; 2; 4)
№2.7. The tops of the pyramids are at points A (-4; 6; 3); B (3, -5, 1); C (2; 6; 4); D (2, 4, -5) ...........
№3.7. The strength of F (5; 4; 11) is applied to point A (6, 1, -5). Calculate a) the work force in the case; when its point of application; moving in a straight line; moves to a point B (4; 2; -6); b) module force moment about the point B.