Option 3 idz 2.2 Collection of idz ryabushko

Tasks, etc - 2.2
No. 1.3. Vectors are given. It is necessary to: a) calculate the mixed product of three vectors; b) find the modulus of the vector product;C) calculate the scalar product of two vectors;d)check whether two vectors are collinear or orthogonal; e) check whether three vectors are coplanar. a(2;-4;-2); b(7;3; 0); c(3;5; -7).
No. 2.3. The vertices of the pyramid are located at points A(1;3;1); B(-1;4;6); C(-2;-3;4); D (3;4;-4). .......
No. 3.3. The force F (2; 19;-4) is applied to the point A(5;3;4). Calculate a) the work of the force in the case; when the point of its application; moving rectilinearly; moves to point B(6;-4;-1); b) the modulus of the moment of force relative to point B.