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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=FAB.^AB=100×(11)i+(30)j+(50)k(11)2+(30)2+(50)2¯FAB=32.44i̅+48.67j̅+81.11k̅¯FAC=FAC.^AC=150×(31)i+(50)j+(70)k(31)2+(50)2+(70)2¯FAC=33.96i̅+84.92j̅+118.89k̅¯FAD=FAD.^AD=200×(01)i+(40)j+(00)k(01)2+(40)2+(00)2¯FAD=48.51i̅+194.03j̅

Resultant,

R=¯FAB+¯FAC+FADR=46.99i̅+327.62j̅+200k̅

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