Option 10 DHS 2.2

Option 10 DHS 2.2

№1.10. 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 (6; -4; 6); b (9; -6; 9); c (1; 0; -8).
No. 2.10. The vertices of the pyramid are at points A (–5; –4; –3); B (7; 3; –1); C (6; –2; 0); D (3; 2; –7).
№ 3.10. The force F (–5; 4; 4) is applied to the point A (3; 7; –5). Calculate a) the work force F in the case; when the point of its application; moving straight; moves to point B (2; –4; 1); b) the modulus of momentum of force F relative to point B.