Option 11 DHS 2.2

Option 11 DHS 2.2

№1.11. 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 are coplanar: a (5; -3; 4); b (2; -4; -2); c (3; 5; -7).
№ 2.11. The vertices of the pyramid are at points A (3; –5; –2); B (–4; 2; 3); C (1; 5; 7); D (–2; –4; 5).
№ 3.11. The force F (4; 7; –3) is applied to the point A (5; –4; 2). Calculate a) the work force F in the case; when the point of its application; moving straight; moves to point B (8; 5; –4); b) the modulus of momentum of force F relative to point B.