Ryabushko A.P. IDZ 2.2 option 9

DHS - 2.2
№1.9. Given the vector. It is necessary to: a) calculate the mixed product of three vectors of three; b) Find the unit vector product; c) to calculate the inner product of two vectors; g) to check whether the two collinear or orthogonal
vector; e) verify whether the three vectors are coplanar. a (-1; 0; 5); b (-3; 2, 2); c (-2; -4; 1).
№2.9. The tops of the pyramids are located at points A (3, -2, 6); B (-6; -2; 3); C (1, 1, 4); D (4, 6, -7). .......
№3.9. Force F (6, 5, -7) is applied to point A (7; -6 4). Calculate a) the work force in the case; when its point of application; moving in a straight line; moves to point B (4; 9; -6); b) module force moment about the point B.