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IDZ Ryabushko 2.2 Variant 1

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IDZ Ryabushko 2.2 Variant 1

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 (2; -3; 1); b (0; 3; 4); c (5; 2; -3).

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

No.3. The force F (5; -3; 9) is applied to point A (3; 4; -6). 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 B (2; 6; 5); b) the modulus of the moment of force F relative to point B.

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