Ryabushko A.P. IDZ 2.2 option 29

DHS - 2.2
№1.29. 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; e) verify whether the three vectors are coplanar a (-9; 0, 4); b (2, -4, 6); c (3, -6, 9)
№2.29. The tops of the pyramids are at points A (4; 2; 3); B (-5; -4; 2); C (5; 7; 4); D (6, 4, -7). ........
№3.29. Given three powers P (3, -2, 4); Q (-4; 4; -3); R (3; 4; 2); applied to the point A (1, -4, 3). Calculate a) the work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (4, 0, -2); b) the value of
the resultant moment of the forces about point B.