No. 1 Given a vector. It is necessary: ​​a) to calculate the mixed product of three vectors; b) find the modulus 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; -4; -2); b (7; 3; 0); c (3; 5; -7).

No. 2 The vertices of the pyramid are at points A (1; 3; 1); B (–1; 4; 6); C (–2; –3; 4); D (3; 4; –4) ...

No. 3 The force F (2; 19; –4) is applied to point A (5; 3; 4). 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 (6; –4; –1); b) the modulus of the moment of force with respect to point B.