IDZ Ryabushko 2.2 Variant 29
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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 (-9; 0; 4) are coplanar; b (2; -4; 6); c (3; -6; 9)
No. 2 The tops of the pyramid are at points A (4; 2; 3); B (–5; –4; 2); C (5; 7; –4); D (6; 4; –7) ...
No. 3 Given three forces P (3; –2; 4); Q (–4; 4; –3); R (3; 4; 2); applied to point A (1; –4; 3). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (4; 0; –2); b) the value
the moment of the resultant of these forces with respect to point B.
No. 2 The tops of the pyramid are at points A (4; 2; 3); B (–5; –4; 2); C (5; 7; –4); D (6; 4; –7) ...
No. 3 Given three forces P (3; –2; 4); Q (–4; 4; –3); R (3; 4; 2); applied to point A (1; –4; 3). Calculate a) the work produced by the resultant of these forces; when the point of its application, moving rectilinearly, moves to point B (4; 0; –2); b) the value
the moment of the resultant of these forces with respect to point B.
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