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 two vectors are collinear or orthogonal; e) check whether the three vectors are coplanar. a (-4; 2; -1); b (3; 5; -2); c (0; 1; 5).

No.2 The vertices of the pyramid are located at points A (–5; –3; –4); B (1; 4; 6); C (3; 2; –2); D (8; –2; 4) ...

No.3 The force F (4; 11; –6) is applied to point A (3; 5; 1). 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 (4; –2; –3); b) the modulus of the moment of force with respect to point B.