Ryabushko A.P. IDZ 2.2 option 28

DHS - 2.2
№1.28. 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, -5, -4); b (5; 1; 0); c (2; 4; 3);
№2.28. The tops of the pyramids are at points A (3; 5; 3); B (-3; 2; 8); C (-3; -2; 6); D (7; 8; -2). .......
№3.28. Given three powers P (7; 3; 4); Q (3, -2, 2); R (-5; 4; 3); applied to point A (-5, 0, 4). Calculate a) the work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (4; -3 5); b) the value of
the resultant moment of the forces about point B.