Ryabushko A.P. IDZ 2.2 option 14

№1.14. Given the vector. It is necessary to: a) calculate the mixed product of three vectors; b) find the module of the 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 (-4; -6; 2); b (2, 3; -1); c (1, -5, 3).
№2.14. The tops of the pyramids are located at points A (-4; -5; -3); B (3, 1, 2); C (5; 7; -6); D (6; 1; 5). .....
№3.14. Given three powers P (5, -2, and 3); Q (4; 5; -3); R (-1; -3; 6); applied to point A (7, 1, -5). Calculate a) the work done by the resultant of these forces; when its point of application, moving in a straight line, moves to point B (2, -3, -6); b) the value of
the resultant moment of the forces about point B.