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 the three vectors a (3; -1; 5) are coplanar; b (2; -4; 6); c (1; -2; 3);

No. 2 The tops of the pyramid are located at points A (–9; –7; 4); B (–4; 3; –1); C (5; –4; 2); D (3; 4; 4) ...

No. 3 Given three forces P (4; –2; 3); Q (–2; 5; 6); R (7; 3; –1); applied to point A (–3; –2; 5). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (9; –5; 4); b) the value
the moment of the resultant of these forces with respect to point B.