Option 5 DHS 2.2

DHS - 2.2
№1.5. 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; 2; -1); b (3; 5; -2); c (0; 1; 5).
No. 2.5. The vertices of the pyramid are at points A (–5; –3; –4); B (1; 4; 6); C (3; 2; –2); D (8; –2; 4). ..........
№3.5. The force F (4; 11; –6) is applied to the point A (3; 5; 1). Calculate a) the work force in the case; when the point of its application; moving straight; moves to point B (4; –2; –3); b) the modulus of the moment of force relative to point B.