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; 2; -2); b (7; 0; -5); c (2; 3; -2).

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

№ 3 Three forces are given Q (9; –3; 4); P (5; 6; –2); R (–4; –2; 7); applied to point A (–5; 4; –2). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (4; 6; –5); b) the magnitude of the moment of the resultant of these forces relative to point B.