Option 29 DHS 2.2 Collection of DHS Ryabushko

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Option 29 DHS 2.2 Collection of DHS Ryabushko

DHS - 2.2
№1.29. Given the vector. It is necessary: ​​a) to calculate the mixed product of the three vectors; b) find the module of the vector product; c) calculate the scalar product of two vectors; d) check whether the two vectors are collinear or orthogonal; e) check whether the three vectors a (-9; 0; 4) will be coplanar; b (2; -4; 6); c (3; -6; 9)
№2.29. The vertices of the pyramid are at points A (4; 2; 3); B (–5; –4; 2); C (5; 7; –4); D (6; 4; –7). ........
№3.29. Three forces P are given (3; –2; 4); Q (–4; 4; –3); R (3; 4; 2); attached to point A (1; –4; 3). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving in a straight line, moves to the point B (4; 0; –2); b) size
the moment of the resultant of these forces relative to point B.

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