Three cables pull on the pipe such that they create a resultant force having a magnitude of

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Three cables pull on the pipe such that they create a resultant force having a magnitude of 900 lb. if two of the cables are subjected to know forces, as shown in the figure, determine the direction ? of the third cable so that the magnitude of force F in this cable is a minimum. All forces lie in the x-y plane. What is the magnitude of F?

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