Option 17 DHS 2.2

DHS - 2.2
№1.17. Given the vector. It is necessary: ​​a) to calculate the mixed product of the three vectors; b) find the module of the vector product; c) calculate the scalar product of two vectors; d) check whether the two vectors are collinear or orthogonal; e) check whether the three vectors are coplanar: a (2; -4; -2); b (-9; 0; 2); c (3; 5; -7).
№2.17. The vertices of the pyramid are at points A (5; 3; 6); B (–3; –4; 4); C (5; –6; 8); D (4; 0; –3) ....
№3.17. Three forces P are given (5; –3; 1); Q (4; 2; –6); R (–5; –3; 7); attached to point A (–5; 3; 7). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving in a straight line, moves to the point B (3; 8; –5); b) size
the moment of the resultant of these forces relative to point B.