# Version 2.2 Collection of 10 DHS DHS Ryabushko

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№1.10. 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 (6, -4, 6); b (9; -6, 9); c (1, 0, -8).
№2.10. The tops of the pyramids are at points A (-5; -4; -3); B (7, 3; -1); C (6, -2, 0); D (3, 2, -7).
№3.10. The strength of F (-5; 4; 4) is applied to point A (3, 7, -5). Calculate a) operation in the event of force F; when its point of application; moving in a straight line; moves to point B (2, -4, 1); b) the time unit of the force F about the point B.