Ryabushko A.P. IDZ 2.2 option 11

№1.11. 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; d) check whether coplanar three vectors: a (5, -3 and 4); b (2; -4; -2); c (3, 5, -7).
№2.11. The tops of the pyramids are located at the points of points A (3; -5; -2); B (-4; 2; 3); C (1; 5; 7); D (-2; -4; 5).
№3.11. Force F (4; 7; 3) is applied to point A (5, -4, 2). Calculate a) operation in the event of force F; when its point of application; moving in a straight line; moves to point B (8, 5, 4); b) the time unit of the force F about the point B.