Ryabushko A.P. IDZ 2.2 option 26

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