Vectors, Direction, and Net displacement

AI Thread Summary
The discussion focuses on solving two vector problems involving displacement. The first problem involves a helicopter that travels northwest, east, and south, and the goal is to determine its net displacement from the origin. The second problem concerns a ship sailing northwest and then south, with a similar objective. The calculations for the ship's displacement involve using trigonometric functions to find the x and y components, leading to a magnitude of 100 miles. Participants are encouraged to provide guidance on the calculations and confirm if the approach taken is correct.
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I have been working on the following two problems and I can't seem to get any progress.
Any help from anyone would be greatly appreciated. I know it seems simple to those who are familiar but I have no background in this type of equations.

1. A helicopter travels northwest 70.7 miles, then straight east 100 miles, and finally straight south 100 miles. How far and in what direction is it from point of origin?



2. A ship sails 100 miles northwest then 141.4 miles due south. How far and in what direction is it from its starting location?
 
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100 miles NW
141.4 miles S

x=100cos135=-70.71
y=100sin135=70.71

Mag=sqrt(-70.71)^2+(70.71)^2
Mag=sqrt10000
Mag=100miles

is this on the right track for this problem?
 
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