Ryabushko A.P. IDZ 2.2 option 12

№1.12. 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 (-4; 3; -7); b (4; 6; -2); c (6; 9; 3).
№2.12. The tops of the pyramids are at points A (7, 4, 9); B (1; -2; -3); C (-5; -3; 0); D (1, -3 and 4)
№3.12. Force F (2; 2; 9) is applied to point A (4; 2; 3). Calculate a) operation in the event of force F; when its point of application; moving in a straight line; moves to point B (2, 4, 0); b) the time unit of the force F about the point B.