1 The Magic Carpet Ride You are a young adventurer. Having spent most of your time in the mythical city of Oronto, you decide to leave home for the first time. Your parents want to help you on your journey, so just before your departure, they give you two gifts. Specifically, they give you two forms of transportation: a hover board and a magic carpet. Your parents inform you that both the hover board and the magic carpet have restrictions in how they operate: We denote the restriction on the hover board's movement by the vector [³]. By this we mean that if the hover board traveled "forward" for one hour, it would move along a "diagonal" path that would result in a displacement of 3 km East and 1 km North of its starting location. We denote the restriction on the magic carpet's movement by the vector [2] By this we mean that if the magic carpet traveled "forward" for one hour, it would move along a “diagonal" path that would result in a displacement of 1 km East and 2 km North of its starting location. Scenario One: The Maiden Voyage Your Uncle Cramer suggests that your first adventure should be to go visit the wise man, Old Man Gauss.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
100%

In this question, wouldnt the travler not make it to his destination ??? 

being that the hover board and the magic carpet in combination will not be able to reach the old wise man ??

1
The Magic Carpet Ride
You are a young adventurer. Having spent most of your time in the mythical city of Oronto, you decide to
leave home for the first time. Your parents want to help you on your journey, so just before your departure,
they give you two gifts. Specifically, they give you two forms of transportation: a hover board and a magic
carpet. Your parents inform you that both the hover board and the magic carpet have restrictions in how
they operate:
We denote the restriction on the hover board's movement by the vector
By this
we mean that if the hover board traveled "forward" for one hour, it would move along
a "diagonal" path that would result in a displacement of 3 km East and 1 km North
of its starting location.
We denote the restriction on the magic carpet's movement by the vector [2].
By this
we mean that if the magic carpet traveled "forward" for one hour, it would move
along a "diagonal" path that would result in a displacement of 1 km East and 2 km
North of its starting location.
Scenario One: The Maiden Voyage
Your Uncle Cramer suggests that your first adventure should be to go visit the wise man, Old Man Gauss.
Uncle Cramer tells you that Old Man Gauss lives in a cabin that is 107 km East and 64 km North of your
home.
Task:
Investigate whether or not you can use the hover board and the magic carpet to get to Gauss's cabin. If
so, how? If it is not possible to get to the cabin with these modes of transportation, why is that the case?
Transcribed Image Text:1 The Magic Carpet Ride You are a young adventurer. Having spent most of your time in the mythical city of Oronto, you decide to leave home for the first time. Your parents want to help you on your journey, so just before your departure, they give you two gifts. Specifically, they give you two forms of transportation: a hover board and a magic carpet. Your parents inform you that both the hover board and the magic carpet have restrictions in how they operate: We denote the restriction on the hover board's movement by the vector By this we mean that if the hover board traveled "forward" for one hour, it would move along a "diagonal" path that would result in a displacement of 3 km East and 1 km North of its starting location. We denote the restriction on the magic carpet's movement by the vector [2]. By this we mean that if the magic carpet traveled "forward" for one hour, it would move along a "diagonal" path that would result in a displacement of 1 km East and 2 km North of its starting location. Scenario One: The Maiden Voyage Your Uncle Cramer suggests that your first adventure should be to go visit the wise man, Old Man Gauss. Uncle Cramer tells you that Old Man Gauss lives in a cabin that is 107 km East and 64 km North of your home. Task: Investigate whether or not you can use the hover board and the magic carpet to get to Gauss's cabin. If so, how? If it is not possible to get to the cabin with these modes of transportation, why is that the case?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education