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Single vector in 3D view

With every activation of the random vector button a vector arrow with random orientation is generated. Starting at the origin, its endpoint has random integer coordinates x,y,z. They are displayed in three editable number fields. There the coordinates may be changed to any rational number. An alternative one can draw the arrowhead in 2 dimensions with the mouse.

The range of the coordinate system is ∓ 5. A transparent coordinate mesh forms the background of the vector. The code for the generation of coordinate x is

x = integer(10*random( ) - 5).

A button with/no xyz projections shows or hides projections of the arrow onto the coordinate planes.

Five different radio buttons view select among a number of different distinct projections. Of them the 2D projections are especially suited to directly read the coordinates in the drawing frame.

The 3D frame can be rotated by drawing with the mouse, zoomed by drawing while the Shift key is pressed, and shifted by drawing while the Strg key is pressed.

Authors Autor vecteurs3dcompvues Jean-Marc Von Siebenthal, Ph D
I am a physic teatcher, trying to inoculate the pleasure to learn physic in a high school of Geneva, Switzerland.
You can visit the site I use with my students : "Physique et Graffiti" at
http://hypo.ge.ch/www/physic/
For any questions mail to : This email address is being protected from spambots. You need JavaScript enabled to view it. Extensions Dieter Roess Februar 2009

This simulation is part of

Learning and Teaching Mathematics using Simulations

– Plus 2000 Examples from Physics”

ISBN 978-3-11-025005-3, Walter de Gruyter GmbH & Co. KG

 

For Teachers

Translations

Software Requirements

SoftwareRequirements

Android iOS Windows MacOS
with best with Chrome Chrome Chrome Chrome
support fullscreen? Yes. Chrome/Opera No. Firefox/ Sumsung Internet Not yet Yes Yes
cannot work on some mobile browser that don't understand JavaScript such as..... cannot work on Internet Explorer 9 and below

 

Credits

Dieter Roess - WEH- Foundation; Fremont Teng; Loo Kang Wee

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Sample Learning Goals

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For Teachers

 

Instructions

Control Panel

 

Random Vector

Clicking on random vector will randomly generate a vector within the plots.
(Clicking once)


(Clicking another time)
 

Combo Box: View

 
Clicking on the view will allow you to toggle the 3D panel respective perspectives.
 
(Toggling Perspective On)


(Toggling Perspective Off)


(Toggling Planar YZ)


(Toggling Planar XZ)


(Toggling Planar XY)
 

Combo Box: Components

 
Components allow you to manually key in the coordinates of your own vector.
 

XYZ Projection

 
Pressing the xyz projection button will toggle it's visibility.


(With xyz projection)


(No xyz projection)
 

Toggling Full Screen

Double click anywhere in the panel to toggle full screen.
 

Reset Button

Resets the simulation.

Research

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Video

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 Version:

Other Resources

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