IDZ Ryabushko 2.2 Variant 27
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Number 1 are given the 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 the three vectors a (3; -1; 5) are coplanar; b (2; -4; 6); c (1; -2; 3);
No. 2 The tops of the pyramid are located at points A (–9; –7; 4); B (–4; 3; –1); C (5; –4; 2); D (3; 4; 4) ...
No. 3 Given three forces P (4; –2; 3); Q (–2; 5; 6); R (7; 3; –1); applied to point A (–3; –2; 5). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (9; –5; 4); b) the value
the moment of the resultant of these forces with respect to point B.
No. 2 The tops of the pyramid are located at points A (–9; –7; 4); B (–4; 3; –1); C (5; –4; 2); D (3; 4; 4) ...
No. 3 Given three forces P (4; –2; 3); Q (–2; 5; 6); R (7; 3; –1); applied to point A (–3; –2; 5). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (9; –5; 4); b) the value
the moment of the resultant of these forces with respect to point B.
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