 # Version 2.2 Collection of 13 DHS DHS Ryabushko

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№1.13. 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 (-5; 2; -2); b (7; 0; -5); c (2; 3, -2).
№2.13. The tops of the pyramids are located at points A (-4; -7; -3); B (-4; -5; 7); C (2, -3, 3); D (3, 2, 1) .......
№ 3.13. Given three force Q (9; -3; 4); P (5; 6; -2); R (-4; -2; 7); applied to point A (-5, 4, -2). Calculate a) the work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (4, 6, -5); b) the value of
the resultant moment of the forces about point B. 