Ryabushko A.P. IDZ 2.2 option 22

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DHS - 2.2
№1.22. 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 dot product of two vectors; g) check whether collinear or orthogonal two vectors; e) verify whether the three vectors are coplanar. a (7, -4, -5); b (1; -11, 3); c (5; 5; 3).
№2.22. The tops of the pyramids are located at points A (-2; -5; -1); B (-6; -7; 9); C (4, -5, 1); D (2, 1; 4). ..........
№3.22. Given three powers P (7; 3; 4); Q (9, -4, 2); R (-6; 1; 4); applied to point A (-7; 2; 5). Calculate a) the work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (4, -2, 11); b) the value of
the resultant moment of the forces about point B. 