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 (-2; 4; -3); b (5; 1; -2); c (7; 4; -7).

No. 2 The vertices of the pyramid are located at points A (–7; –6; –5); B (5; 1; –3); C (8; –4; 0); D (3; 4; –7) ...

№3 Three forces are given P (7; –5; 2); Q (3; 4; –8); R (–2; –4; 3); applied to point A (–3; 2; 0). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (6; 4; –3); b) the magnitude of the moment of the resultant of these forces relative to point B.