IDZ Ryabushko 2.2 Variant 16
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№1 Given 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; 8; 0); b (2; 3; -2); c (8; 12; -8).
No. 2 The vertices of the pyramid are located at points A (–6; 4; 5); B (5; –7; 3); C (4; 2; –8); D (2; 8; –3) ...
No. 3 Given three forces P (–10; 6; 5); Q (4; –9; 7); R (5; 3; –3); applied to point A (4; –5; 9). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (4; 7; –5); b) the value
the moment of the resultant of these forces with respect to point B.
No. 2 The vertices of the pyramid are located at points A (–6; 4; 5); B (5; –7; 3); C (4; 2; –8); D (2; 8; –3) ...
No. 3 Given three forces P (–10; 6; 5); Q (4; –9; 7); R (5; 3; –3); applied to point A (4; –5; 9). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (4; 7; –5); b) the value
the moment of the resultant of these forces with respect to point B.
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