Statics 2.60 - How to determine the magnitudes of the x, y, z components of F.

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Question: The force F has a magnitude of 80 lb and acts within the octant shown. Determine the magnitudes of x, y, z components of F.

Engineering Mechanics: Statics, 14th edition
Russell C. Hibbeler

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is there any other way solving this problem using coordnate direction angles?

OneUpElmer