Ryabushko A.P. IDZ 2.2 option 17

DHS - 2.2
№1.17. Given the vector. It is necessary to: a) calculate the mixed product of three vectors; b) Find the unit vector product; c) to calculate the inner product of two vectors; g) check whether collinear or orthogonal two vectors; d) check whether coplanar three vectors: a (2; -4; -2); b (-9; 0; 2); c (3, 5, -7).
№2.17. The tops of the pyramids are at points A (5; 3, 6); B (-3; -4; 4); C (5, -6, 8); D (4, 0, -3) ....
№3.17. Given three powers P (5, -3, 1); Q (4; 2; -6); R (-5; -3; 7); applied to point A (-5, 3, 7). Calculate a) the work done by the resultant of these forces; when its point of application, moving in a straight line, moves to point B (3, 8, -5); b) the value of
the resultant moment of the forces about point B.