Option 7 DHS 2.2

DHS - 2.2
№1.7. Given the vector. It is necessary: ​​a) to calculate the mixed product of the three vectors; b) find the module of the vector product; c) calculate the scalar product of two vectors; d) check whether the two vectors are collinear or orthogonal; e) check whether the three vectors will be coplanar. a (4; -1; 3); b (2; 3; -5); c (7; 2; 4)
№2.7. The vertices of the pyramid are at points A (–4; 6; 3); B (3; –5; 1); C (2; 6; –4); D (2; 4; –5) ...........
No. 3.7. The force F (5; 4; 11) is applied to the point A (6; 1; –5). Calculate a) the work force in the case; when the point of its application; moving straight; moves to point B (4; 2; –6); b) the modulus of the moment of force relative to point B.