https://euler.vaniercollege.qc.ca/gwikis/pwiki/index.php?action=history&feed=atom&title=VectorsVectors - Revision history2026-05-10T19:51:19ZRevision history for this page on the wikiMediaWiki 1.43.0https://euler.vaniercollege.qc.ca/gwikis/pwiki/index.php?title=Vectors&diff=6&oldid=prevNuzhat at 21:15, 29 August 20172017-08-29T21:15:20Z<p></p>
<p><b>New page</b></p><div>===Workshop on Vectors===<br />
<br />
''Wissam Chaya''<br />
<br />
====Overview of Vectors====<br />
<br />
1 - For a start, An overview about vectors:<br><br><br />
http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html<br><br><br />
What is the difference between <math>\vec{A}</math> and <math>-\vec{A}</math>? <br>How do we perform vector subtraction of <math>\vec{A}- \vec{B}</math>?<br><br><br />
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====Applications of Vectors====<br />
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For each of the following application, draw a diagram and show vectors acting on the object. Define these vectors and answer the questions related when applicable. <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/plane.cfm Plane and the Wind] <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/rb.cfm The River Boat] <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/bds.cfm Parabolic Motion of projectile] <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/mzng.html Throw at the Monkey in a Gravity Free environment] <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/mzs.html Throw at the Monkey at a slow speed with Gravity on] <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/hlp.html Horizontally Launched Projectiles]<br><br><br />
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::What are the initial v<sub>x</sub> and v<sub>y</sub> speeds? <br><br><br />
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::What are the final v<sub>x</sub> and v<sub>y</sub> speed (when it hits the ground)? <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/nhlp.html Non-Horizontally Lauched Projectile] <br><br><br />
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::What are the initial v<sub>x</sub> and v<sub>y</sub> speeds? <br><br><br />
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::What are the v<sub>x</sub> and v<sub>y</sub> at the peak? <br><br><br />
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::What are the final v<sub>x</sub> and v<sub>y</sub> speeds (when it hits the ground)? <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/mr.html Maximum Range] <br><br><br />
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::At what angle is the maximum range can be obtained? <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/pap.html The Plane and the package]<br><br><br />
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::Why does the package fall just underneath the moving plane? <br><br><br />
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• [http://www.physicsclassroom.com/mmedia/vectors/tb.html The Truck and the Ball]<br><br><br />
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::Why does the fall back on the moving truck? <br><br><br />
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::If you were sitting on the truck, how would you see the path of the ball: As a projectile or as a vertical up/down path? <br><br><br />
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• [http://www.widro.com/throwpaper.html Throw paper !]<br><br><br />
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::Can you throw the paper in the basket?<br><br><br />
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::Play ! Consider the wind direction and speed as well as the velocity direction of your thrown paper. <br>Can you score? how many? <br>Finally draw a diagram of all vectors involved in this game! <br><br><br />
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<!--==== Drawing Vectors and Obtaining sum====<br />
http://surendranath.org/Applets/Math/VectorAddition/VectorAdditionApplet.html<br><br><br />
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::Write down the results that you obtained: <br />
<math>\vec{A}</math>=? <br><br><br />
Ax, Ay ?<br> <br> <br />
<math>\vec{B}</math>=? <br><br><br />
Bx, By ? <br> <br><br />
<math>\vec{A}+\vec{B}</math>=?<br> <br><br />
Sx, Sy? <br><br><br />
::Add the components of <math>\vec{A}</math> and <math>\vec{B}</math> and compare with <math>\vec{A}+\vec{B}</math><br />
<br><br><br />
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==== Sum of vectors (by components)====<br />
<br />
http://www.ies.co.jp/math/java/vector/vsum/vsum.html<br><br><br />
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Set <math>\vec{OA}</math> as(4.0 , 2.0) and <math>\vec{OB}</math> as(2.0, 5.0) and click Sum. <br>What is <math>\vec{OA}+\vec{OB}</math>=?. Verify that by adding the components.<br><br><br />
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====Adding and subtacting vectors====<br />
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http://www.frontiernet.net/~imaging/vector_calculator.html<br><br><br />
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::Set vector <math>\vec{A}</math>(5,11) and <math>\vec{B}</math>(12, 10). <br><br><br />
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::Calculate <math>\vec{A}+\vec{B}</math> and then verify your calculation with the graphical Calculator. Then 'Undo'.<br><br><br />
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::Calculate <math>\vec{B}+\vec{A}</math> and then verify your calculation with the graphical Calculator. What do you notice? Then 'Undo'.<br><br><br />
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::Calculate <math>\vec{A}-\vec{B}</math> and then verify your calculation with the graphical calculator. Then 'Undo'. <br><br><br />
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::Calculate <math>\vec{B}-\vec{A}</math> and then verify your calculations with the graphical calculator. What do you notice? <br><br><br />
--><br />
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====Viewing 3D vectors====<br />
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[http://www.univie.ac.at/future.media/moe/galerie/vect1/vect1.html#vkenn 3D Vectors]<br><br><br />
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<!--====Dot product====<br />
<br />
[http://www.ies.co.jp/math/java/vector/naiseki_e/naiseki_e.html dot Produc]<br><br><br />
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====Cross product====<br />
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http://www.upscale.utoronto.ca/GeneralInterest/Harrison/Flash/Vectors/CrossProduct/CrossProduct.swf <br><br><br />
--><br />
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====Math & physics puzzles====<br />
<br />
[http://www.sci.sdsu.edu/mathtutor/demos.html Puzzles!!]<br />
<br><br><br />
<br />
===Relative Motion===<br />
''Helena Dedic''<br />
<br />
[http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=140 Relative Motion]<br />
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===More on Vectors===<br />
<br />
*[[Theory]]<br />
<br />
*[[Exercises on Vectors]]<br />
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===More Links===<br />
<br />
http://phet.colorado.edu/en/simulation/vector-addition</div>Nuzhat