Problem: A cable force is \(\mathbf{F} = \{-120\,\mathbf{i} + 90\,\mathbf{j} - 360\,\mathbf{k}\}\,\text{N}\). Find its magnitude and the angle it makes with the downward vertical (\(-z\)).
A Cable Pulling Down
ID: 0vbvs1rb2p
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1Note
Note
Cartesian Vectors in 3D: Components and Direction Angles
Describe a force in 3D with i, j, k components, its magnitude, coordinate direction angles and unit vector.
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Sources & References
Reference materials
1
Engineering Mechanics: Statics
R. C. Hibbeler
2021•Pearson
2
Vector Mechanics for Engineers: Statics
F. P. Beer, E. R. Johnston Jr., D. F. Mazurek
2019•McGraw-Hill Education
3
Engineering Mechanics: Statics
J. L. Meriam, L. G. Kraige, J. N. Bolton
2018•John Wiley & Sons
4
Engineering Mechanics: Statics
A. Bedford, W. Fowler
2004•Pearson Prentice Hall
5
Engineering Statics: Open and Interactive
D. W. Baker, W. Haynes
2026
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