Physics

Physics

Problem

Three forces act simultaneously on a small object located at the origin of an xyzx y z coordinate system. • F⃗1\vec F_1 has magnitude 120 N120\,\text{N} and is directed along 2i^+3j^−2k^2\hat i + 3\hat j - 2\hat k. • F⃗2\vec F_2 has magnitude 80 N80\,\text{N} and is directed along −i^+4j^+2k^-\hat i + 4\hat j + 2\hat k. A third force F⃗3\vec F_3 is applied so the object remains in equilibrium. Determine the components of F⃗3\vec F_3 in unit-vector notation.

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