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Vectors Project Grade 12 Applied Math Alicia Tewnion

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Table of Contents Intro…........………………………..…….3 Legend………………………….…….….4 Resultant…………………………………5 Scenarios………………………...........….6 1 st Scenario……………………..…….…7 2 nd Scenario…………………....………...9 3 rd Scenario…………………..………...11 4 th Scenario…………………..….............13 5 th Scenario………………....………......15 Conclusion………………….……..........17 References………………………….......19

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Introduction For my vectors project I decided to do 5 scenarios to travel from Swan River to Churchill, Manitoba I chose to do this because I travel from Swan River to Churchill 3 times a year, and each time I get there a different way. The transportations that I chose were by vehicle, plane, or train.

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Legend Train: Purple vectors Car: Pink Vectors Plane: Orange vectors Resultant Vector: Dark Blue Map Scale: Light Blue

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Resultant

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Scenarios: 1. Drive from Swan River to Winnipeg, MB via Neepawa. From there, flying to Churchill, MB. 2. Drive from Swan River to Dauphin, MB. From there, taking the train to Churchill, MB. 3. Drive from Swan River to The Pas, MB. Fly to Winnipeg, MB (the airline does not fly direct to Churchill from The Pas), then continuing to Churchill, MB. 4. Drive from Swan River to The Pas, MB. Taking the train from there to Churchill, MB. 5. Driving from Swan River to Thompson, MB. Flying from there to Churchill, MB.

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First Scenario Drive from Swan River to Winnipeg, MB via Neepawa. From there, flying to Churchill, MB.

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First Scenario Continued.. Complete calculations with vectors to show the first scenario

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Second Scenario Drive from Swan River to Dauphin, MB. From there, taking the train to Churchill, MB.

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Second Scenario Continued… Complete calculations with vectors to show the second scenario

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Third Scenario Drive from Swan River to The Pas, MB. Fly to Winnipeg, MB (the airline does not fly direct to Churchill from The Pas) Then continuing to Churchill, MB

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Third Scenario Continued… Complete calculations with vectors to show the third scenario

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Fourth Scenario Drive from Swan River to The Pas, MB. Taking the train from there to Churchill, MB

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Fourth Scenario Continued… Complete calculations with vectors to show the fourth scenario

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Fifth Scenario Driving from Swan River to Thompson, MB via The Pas. Flying from there to Churchill, MB

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Fifth Scenario Continued… Complete calculations with vectors to show the fifth scenario

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Conclusion I found 5 ways to get to Churchill, Manitoba from Swan River, Manitoba. Each scenario contains different ways of transportation

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Sources For Error I had to adjust a few of the scales to make the overall scenario line up properly. The map website that I used didn’t seem to be very accurate with a few of the measurements.

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References Google Maps Distance Calculator (http://www.daftlogic.com/projects- google-maps-distance-calculator.htm)http://www.daftlogic.com/projects- google-maps-distance-calculator.htm Euklid program Paint program

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