Number 1 are given the vector. It is necessary: ​​a) to compute 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 (-4; -6; 2); b (2; 3; -1); c (1; -5; 3).

No. 2 The vertices of the pyramid are located at points A (–4; –5; –3); B (3; 1; 2); C (5; 7; –6); D (6; –1; 5) ...

№3 Three forces are given P (5; –2; 3); Q (4; 5; –3); R (–1; –3; 6); applied to point A (7; 1; –5). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (2; –3; –6); b) the magnitude of the moment of the resultant of these forces relative to point B.