Ryabushko A.P. IDZ 2.2 option 24

DHS - 2.2
№1.24. 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 (3, -1, 2); b (-1; 5; 4); c (6, -2, 4).
№2.24. The tops of the pyramids are at points A (7, 4, 2); B (-5; 3; -9); C (1, -5, 3); D (7; -9: 1). .....
№3.24. Given three forces P (6, -4, 5); Q (-4; 7; 8); R (5; 1; 3); applied to point A (-5, -4, 2). Calculate a) the work done by the resultant of these forces; when the point of its application, moving rectilinearly moves to point B (7; -3, 6); b) the value of
the resultant moment of the forces about point B.