Problem: Three forces act at the origin: 500 N along \(+x\), 400 N along \(+y\) and 300 N along \(+z\). Find the resultant and its direction angles.
Forces Along the Axes
ID: nljnr8nxn2
Sources & References
Reference materials
1
Engineering Mechanics: Statics
R. C. Hibbeler
2021•Pearson
Ch. 2, §2.6 Addition of Cartesian Vectors
2
Vector Mechanics for Engineers: Statics
F. P. Beer, E. R. Johnston Jr., D. F. Mazurek
2019•McGraw-Hill Education
Ch. 2, §2.4 Adding Forces in Space (Addition of Concurrent Forces in Space)
3
Engineering Mechanics: Statics
J. L. Meriam, L. G. Kraige, J. N. Bolton
2018•John Wiley & Sons
Ch. 2, Art. 2/7 Rectangular Components
4
Engineering Mechanics: Statics
A. Bedford, W. Fowler
2004•Pearson Prentice Hall
Ch. 2, §2.4 Components in Three Dimensions
5
Engineering Statics: Open and Interactive
D. W. Baker, W. Haynes
2026
Ch. 2, §2.6.5 Algebraic Addition of Components
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Resultant of Concurrent Forces in 3D
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3D Force Vector Builder: Angles, Two Points and Sums
Build a force in space from its components, its three direction angles, two angles or two points, turn the 3D view with the mouse, and add several forces into one.
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Add any number of forces in a plane with a clear component table and a force polygon, or find the force that is missing, that balances the others or that turns the resultant to a wanted direction.
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Force Addition Lab: Parallelogram, Triangle and Polygon Rules
Drag two or more forces and watch their resultant appear by the parallelogram, triangle or polygon rule, with the magnitude and direction worked out live.
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Dot Product Visualizer: Angles and Projections in 3D
See what the dot product means: the angle between two directions and the part of a force along a line, drawn in 3D with its perpendicular part and a right-angle mark.
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Introduction to Statics: Concepts, Principles and Units
Start statics here: its basic models and principles, SI and U.S. units, and a five-step method for solving problems, with practice problems and unit converters.
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