No.1. Given a vector. It is necessary: ​​a) to calculate the mixed product of three vectors; b) find the module 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 will be coplanar: a(3;4;1);b(1;-2;7);c(3;-6;2).

No.2. The vertices of the pyramid are at points A(–7;–5;6); B(–2;5;–3 ); C(3;–2 ;4 ); D ( 1 ; 2; 2 ) ...

No.3. The force F( –3;1;– 9 ) is applied to point А(6;–3; 5). Calculate a) the work of force F in the case; when is the point of her application; moving in a straight line; moves to point В( 9;5;–7); b) the modulus of the moment of force F relative to point B.