Option 6 DHS 2.2

DHS - 2.2
№1.6. 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 (3; -2; 1); b (0; 2; -3); c (-3; 2; -1).
№2.6. The vertices of the pyramid are at points A (3; 4; 2); B (–2; 3; –5); C (4; –3; 6); D (6; –5; 3) ...........
№3.6. The force F (3; –5; 7) is applied to the point A (2; 3; –5). Calculate a) the work force in the case; when the point of its application; moving straight; moves to point B (0; 4; 3); b) the modulus of the moment of force relative to point B.