Combining Vectors: Three Forces
View the Lesson | MATHguide homepage Updated July 17th, 2022


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Problem:     Three forces are acting on a body. Determine the resultant vector that is acting on the body. Write the solution in component form, linear combinbation form, and as a magnitude and direction. Round your responses to the nearest tenth of a unit.

F1 = 52 Newtons at 154°
F2 = 19 Newtons at 275°
F3 = 14 Newtons at 63°


This is a generic diagram and does
not reflect the given forces.
Solution:   component form → < , >

    linear combination formi + j

    magnitude Newtons
  direction°