No. 1 Given a vector. It is necessary: ​​a) to calculate the mixed product of three vectors; b) find the module of the vector product; c) calculate the scalar product of two vectors; d) check whether two vectors are collinear or orthogonal; e) check whether the three vectors are coplanar. a (-7; 0; 2); b (2; -6; 4); c (1; -3; 2).

No. 2 The vertices of the pyramid are at points A (2; 4; 1); B (–3; –2; 4); C (3; 5; –2); D (4; 2; –3) ...

No. 3 The force F (–4; 5; –7) is applied to point A (4; –2; 3). Calculate a) the work of force in the case; when is the point of her application; moving in a straight line; moves to point B (7; 0; –3); b) the modulus of the moment of force with respect to point B.