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Vector Addition Patterns Model
written by Andrew Duffy
supported by the National Science Foundation
The Vector Addition Patterns model illustrates the tail-to-tip method of adding vectors.  The table at the bottom shows the components and lengths of the vectors.  You can also rotate the vectors and trace out some interesting patterns.

The Vector Addition Patterns model was created using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_bu_vector_addition_patterns.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java (JRE).
.jar
download 2076kb .jar
Last Modified: June 13, 2014
previous versions
1 source code document is available
.zip
Vector Addition Patterns Model Source Code
The source code zip archive contains an XML representation of the Vector Addition Patterns model.   Unzip this archive in your EJS workspace to compile and run this model using EJS.
download 6kb .zip
Published: April 25, 2010
previous versions
Subjects Levels Resource Types
Classical Mechanics
- Newton's Second Law
= Force, Acceleration
Mathematical Tools
- Trig and Pre-cal
- Vector Algebra
- High School
- Middle School
- Lower Undergraduate
- Upper Undergraduate
- Instructional Material
= Interactive Simulation
- Audio/Visual
= Movie/Animation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Mirror:
http://physics.bu.edu/~duffy/Ejs/…
Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Andrew Duffy, Boston University
Keywords:
EJS, Easy Java Simulation, components, force, resultant, vector simulation, vectors
Record Cloner:
Metadata instance created May 2, 2010 by Mario Belloni
Record Updated:
January 22, 2019 by wee lookang
Last Update
when Cataloged:
April 16, 2010
Other Collections:

AAAS Benchmark Alignments (2008 Version)

11. Common Themes

11B. Models
  • 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.
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
A. Duffy, Computer Program VECTOR ADDITION PATTERNS MODEL (2010), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10011&DocID=1645).
AJP/PRST-PER
A. Duffy, Computer Program VECTOR ADDITION PATTERNS MODEL (2010), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10011&DocID=1645>.
APA Format
Duffy, A. (2010). Vector Addition Patterns Model [Computer software]. Retrieved January 24, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10011&DocID=1645
Chicago Format
Duffy, Andrew. "Vector Addition Patterns Model." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10011&DocID=1645 (accessed 24 January 2025).
MLA Format
Duffy, Andrew. Vector Addition Patterns Model. Computer software. 2010. Java (JRE) 1.5. 24 Jan. 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10011&DocID=1645>.
BibTeX Export Format
@misc{ Author = "Andrew Duffy", Title = {Vector Addition Patterns Model}, Month = {April}, Year = {2010} }
Refer Export Format

%A Andrew Duffy %T Vector Addition Patterns Model %D April 16, 2010 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10011&DocID=1645 %O application/java

EndNote Export Format

%0 Computer Program %A Duffy, Andrew %D April 16, 2010 %T Vector Addition Patterns Model %8 April 16, 2010 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10011&DocID=1645


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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.

The Chicago Style presented is based on information from Examples of Chicago-Style Documentation.

The MLA Style presented is based on information from the MLA FAQ.

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Vector Addition Patterns Model:

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 Addition Patterns Model.

relation by Mario Belloni
Covers the Same Topic As http://www.physicsclassroom.com/Class/vectors/U3L1b.cfm

A tutorial on vector addition from The Physics Classroom. Contains detailed help on how to add vectors and find vector resultants.

relation by Caroline Hall
Is the Basis For Vector Addition Pattern Creativity Lesson JavaScript HTML5 Applet Simulation Model

converted to JavaScript
added some creativity usage of the simulation to scaffold idea exploration

relation by wee lookang
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