Number 1 are given the 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 three vectors will be coplanar: a (5; -3; 4); b (2; -4; -2); c (3; 5; -7).

No. 2 The vertices of the pyramid are located at points A (3; –5; –2); B (–4; 2; 3); C (1; 5; 7); D (–2; –4; 5).

No. 3 Force F (4; 7; –3) is applied to point A (5; –4; 2). Calculate a) the work of force F in the case; when is the point of her application; moving in a straight line; moves to point B (8; 5; –4); b) the modulus of the moment of force F relative to point B.