Option 3 DHS 2.2

DHS - 2.2
№ 1.3. 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 (2; -4; -2); b (7; 3; 0); c (3; 5; -7).
№2.3. The vertices of the pyramid are at points A (1; 3; 1); B (–1; 4; 6); C (–2; –3; 4); D (3; 4; –4). .......
№3.3. The force F (2; 19; –4) is applied to the point A (5; 3; 4). Calculate a) the work force in the case; when the point of its application; moving straight; moves to point B (6; –4; –1); b) the modulus of the moment of force relative to point B.