Option 24 DHS 2.2

DHS - 2.2
№1.24. 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 will be coplanar. a (3; -1; 2); b (-1; 5; -4); c (6; -2; 4).
№2.24. The vertices of the pyramid are at points A (7; 4; 2); B (–5; 3; –9); C (1; –5; 3); D (7; –9; 1). .....
No. 3.24. Three forces P are given (6; –4; 5); Q (–4; 7; 8); R (5; 1; –3); attached to point A (–5; –4; 2). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving in a straight line, moves to point B (7; –3; 6); b) size
the moment of the resultant of these forces relative to point B.