Word Problem You are a young traveler, leaving home for the first time. Your par

Question

Word Problem You are a young traveler, leaving 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. Vour 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 b->ard's movement by the vector 3, 1 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 miles East and 1 mile North of its starting location. .We denote the restriction on the magic carpet's movement by the vector 1,2 By this we inean that if the magic carpet traveled "forward" for one hour, it would move alonga "diagonal" path that would result in a displacement of 1 mile East and 2 miles North of its starting location. 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 miles East and 64 miles North of your home Problem 2.3. Can you use the hover board and the magic carpet to get to Gauss's cabin. If so, how? If not, why is that the case? Use a diagram or graphic to help you illustrate your point(s).

Explanation / Answer

its answer is YES

AS we know the hover board travelled with a displacement 3 miles east and i mile north in one hour moving forward

hence if we travelled for 30 hours forward

then we are 90 miles east and 30 miles north from starting location..........(1)

now we discuss about magic carpet  which travelled 1 mile east and 2 miles north displacement in one hour forward

hence if we travelled through magic carpet for 17 hours

then we travelled a displacement 17 miles east and 34 miles north............(2)

hence from equ(1) and (2) we can see the total displacement by magic carpet and hover board=(90+17)east+(30+34)north

hence total displavement by hover board and magic carpet=107 miles east and 64 miles north

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