Ryabushko A.P. IDZ 2.2 option 30

DHS - 2.2
№1.30. Given the vector. It is necessary to: a) calculate the mixed product of three vectors; b) Find the unit vector product; c) calculate the dot product of two vectors, and d) to check whether the collinear or orthogonal two vectors; e) verify whether the three vectors are coplanar a (5, -6, -4); b (4; 8; -7); c (0; 3; 4).
№2.30 top of the pyramid are located at points A (-4; -2; -3); B (2; 5; 7); C (6, 3, 1); D (6, -4, 1). ....
№3.30. Given three forces P (2; -1; -3); Q (3, 2, 1); R (-4; 1; 3); applied to point A (-1, 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 (2; 3; 1); b) the amount of time the resultant of these forces about point B.