No. 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 the three vectors are coplanar. a (3; -2; 1); b (0; 2; -3); c (-3; 2; -1).

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

No. 3 Force F (3; –5; 7) is applied to point A (2; 3; –5). 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 (0; 4; 3); b) the modulus of the moment of force with respect to point B.