Ryabushko A.P. IDZ 2.2 option 23

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