Option 16 DHS 2.2

DHS - 2.2
№1.16. 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 (-3; 8; 0); b (2; 3; -2); c (8; 12; -8).
No. 2.16. The vertices of the pyramid are at points of points A (–6; 4; 5); B (5; –7; 3); C (4; 2; –8); D (2; 8; –3) .....
No. 3.16. Three forces P are given (–10; 6; 5); Q (4; –9; 7); R (5; 3; –3); attached to point A (4; –5; 9). 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 (4; 7; –5); b) size
the moment of the resultant of these forces relative to point B.