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written by Andrew Duffy
supported by the National Science Foundation
This simulation offers beginning students practice in two-dimensional vector addition. It is relatively simple, as the x and y components of each vector are integers. Given the magnitude and direction of two vectors, students must determine the x and y components, the length of each, and the resultant vector sum. Click on "Check Answers" to get immediate feedback; click on "Show Answers" to display all the correct responses.  

See Annotations (below) for a tutorial on the topic of vector fundamentals, recommended by The Physics Front editors.

See Related Materials for a more advanced simulation on vector addition in which the components are not limited to integer values.

Please note that this resource requires at least version 1.5 of Java (JRE).
View the source code document attached to this resource
Subjects Levels Resource Types
Classical Mechanics
- Newton's Second Law
= Force, Acceleration
Mathematical Tools
- Trig and Pre-cal
- Vector Algebra
- High School
- Lower Undergraduate
- Upper Undergraduate
- Instructional Material
= Curriculum support
= Interactive Simulation
- Audio/Visual
= Movie/Animation
Appropriate Courses Categories Ratings
- Physics First
- Conceptual Physics
- Algebra-based Physics
- AP Physics
- Laboratory
- New teachers
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Intended Users:
Access Rights:
Free access
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Andrew Duffy, Boston University
EJS, Easy Java Simulation, components, force, resultant, vector addition, vector simulation, vectors
Record Cloner:
Metadata instance created May 2, 2010 by Mario Belloni
Record Updated:
June 13, 2014 by Andreu Glasmann
Last Update
when Cataloged:
April 16, 2010
Other Collections:

AAAS Benchmark Alignments (2008 Version)

11. Common Themes

11B. Models
  • 6-8: 11B/M2. Mathematical models can be displayed on a computer and then modified to see what happens.
  • 9-12: 11B/H2. Computers have greatly improved the power and use of mathematical models by performing computations that are very long, very complicated, or repetitive. Therefore, computers can reveal the consequences of applying complex rules or of changing the rules. The graphic capabilities of computers make them useful in the design and simulated testing of devices and structures and in the simulation of complicated processes.
The Physics Classroom: Vector Addition (Author: Tom Henderson)
Date: 06/09/2010

An editor-recommended tutorial to accompany the "Vector Addition Model". It begins with very simple concept-building, then moves into detailed explanations of the math involved to determine the magnitude of a vector (both the trigonometric and the parallelogram methods).

The Physics Classroom: Vector Addition (html)

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Record Link
AIP Format
A. Duffy, Computer Program VECTOR ADDITION WITH INTEGER COMPONENTS (2010), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10010&DocID=1643).
A. Duffy, Computer Program VECTOR ADDITION WITH INTEGER COMPONENTS (2010), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10010&DocID=1643>.
APA Format
Duffy, A. (2010). Vector Addition with Integer Components [Computer software]. Retrieved November 29, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10010&DocID=1643
Chicago Format
Duffy, Andrew. "Vector Addition with Integer Components." http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10010&DocID=1643 (accessed 29 November 2014).
MLA Format
Duffy, Andrew. Vector Addition with Integer Components. Computer software. 2010. Java (JRE) 1.5. 29 Nov. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10010&DocID=1643>.
BibTeX Export Format
@misc{ Author = "Andrew Duffy", Title = {Vector Addition with Integer Components}, Month = {April}, Year = {2010} }
Refer Export Format

%A Andrew Duffy
%T Vector Addition with Integer Components
%D April 16, 2010
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10010&DocID=1643
%O application/java

EndNote Export Format

%0 Computer Program
%A Duffy, Andrew
%D April 16, 2010
%T Vector Addition with Integer Components
%8 April 16, 2010
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10010&DocID=1643

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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Style.org: Electronic References.

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Vector Addition with Integer Components:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Vector Components with Integer Components.

relation by Mario Belloni
Covers the Same Topic As Vector Addition Model

A more complex version of the same simulation that gives students more practice in two-dimensional vector addition (components are not limited to integer values).

relation by Caroline Hall

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