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; -2); b (-9; 0; 2); c (3; 5; -7).

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

№3 Given three forces P (5; –3; 1); Q (4; 2; –6); R (–5; –3; 7); applied to point A (–5; 3; 7). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (3; 8; –5); b) the value
the moment of the resultant of these forces with respect to point B.