Ryabushko A.P. IDZ 2.2 option 15

№1.15. 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; 2; -3); b (0; -3; 5); c (6; 6; 4).
№2.15. The tops of the pyramids are at points A (5, 2, 4); B (-3; 5; -7); C (1, -5, 8); D (9; -3; 5) .. .... ..
№3.15. Given three powers P (9; -3; 4); Q (5, 6, -2); R (-4; -2; 7); applied to point A (-5, 4, -2) .Vychislit a) work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (4, 6, -5); b) the value of
the resultant moment of the forces about point B.