IDZ Ryabushko 2.2 Variant 15
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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; d) check whether three vectors will be coplanar: a (-4; 2; -3); b (0; -3; 5); c (6; 6; -4).
No. 2 The vertices of the pyramid are located at points A (5; 2; 4); B (–3; 5; –7); C (1; –5; 8); D (9; –3; 5) ...
No. 3 Given three forces P (9; –3; 4); Q (5; 6; –2); R (–4; –2; 7); applied to point A (–5; 4; –2). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (4; 6; –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 (5; 2; 4); B (–3; 5; –7); C (1; –5; 8); D (9; –3; 5) ...
No. 3 Given three forces P (9; –3; 4); Q (5; 6; –2); R (–4; –2; 7); applied to point A (–5; 4; –2). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (4; 6; –5); b) the value
the moment of the resultant of these forces with respect to point B.
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