Ryabushko A.P. IDZ 2.2 option 25

DHS - 2.2
№1.25. 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 (-3; -1; -5); b (2, -4, 8); c (3; 7; 1)
№2.25. The tops of the pyramids are located at points A (-8; 2; 7); B (3, -5, 9); C (2, 4, -6); D (4, 6, -5) .......
№3.25. Given three forces P (5, 5, -6); Q (7, -6, 6); R (-4; 3; 4); applied to point A (-9; 4; 7). Calculate a) the work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (8; 1; 7); b) the value of
the resultant moment of the forces about point B.