Option 1 DHS 2.2

Option 1 DHS 2.2

№1.1. 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 (2; -3; 1); b (0; 3; 4); c (5; 2; -3).
№ 2.1. The vertices of the pyramid are at points A (3; 4; 5); B (1; 2; 1); C (–2; –3; 6); D (3; –6; –3) .....
No.3.1. The force F (5; -3; 9) is applied to the point A (3; 4; -6). Calculate a) the work force F in the case; when the point of its application; moving straight; moves to point B (2; 6; 5); b) the modulus of momentum of force F relative to point B.