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Find the resultant of the spatial concurrent force system concurrent at A (1,0,0) and passing through points B(-1,3,5), C(3,5,7), D(0,4,0). Magnitude of forces FAB = 100N, FAC = 150N, FAD = 200N.
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¯FAB=100 ¯AB|¯AB|=100(2ˆa+3ˆj+5ˆk)22+32+52=32.47 ˆi+48.7 ˆj+81.17 ˆk (N)

¯FAC=150 ¯AC|¯AC|=150(2ˆi+5ˆj+7ˆk)22+52+72=33.98 ˆi+84.94 ˆj+118.9 ˆk (N)

¯FAD=200 ¯AD|¯AD|=200(ˆi+4ˆj)12+42=48.5 ˆi+194 ˆj  (N)

Resultant Force

¯R=¯FAB+¯FAC+¯FAD=47ˆi+327.64 ˆj+200.07 ˆk

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