Vector Addition Problem: Finding Final Displacement using Law of Sines/Cosines

In summary, the conversation is about how to use the law of sines and cosines to find the final displacement of a land surveyor who walks in two directions for a certain distance. The participants suggest drawing a diagram and resolving the vectors in x-y axis to help with the solution. They also recommend applying one of the laws to find the final displacement.
  • #1
smittyj
2
0

Homework Statement


A land surveyor walks 5200m @ 330 degrees and then turns and goes an additional 3000m @ 180 degrees. Find his final displacement using the law of sines/cosines.



Homework Equations


I know the law of sines is a/sinA = b/sinB = c/sinC, and the law of cosines is a^2=b^2 + c^2 - 2bc cos A. I just don't know how to get started.



The Attempt at a Solution


I have no attempt at this solution except for a picture.
 
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  • #2
Have you drawn a diagram? If that is your picture, why don't you post it.
 
  • #3
just a suggestion. if you have problems in adding vectors then:
you can resolve each vector in x -y axis and then add them, it may help
 
  • #4
It looks like you need to draw a triangle with the information given. You are given an angle and two side lengths. From there you should be able to apply one of those laws.
 
  • #5
yeah, that is the way. go on
 
  • #6
Where are you getting stuck? If you can get that far you are almost done.
 
  • #7
hologramANDY and ashishsinghal, please note the OP hasn't been back since making the post.

You both seem to be speaking to each other. Take note of the OP's name and I'd recommend waiting for a response before endlessly posting in this thread.
 

1. What is vector addition?

Vector addition is the process of combining two or more vectors to form a resultant vector. It is used to determine the overall magnitude and direction of the combined vectors.

2. How is vector addition calculated?

Vector addition is calculated by adding the corresponding components of the vectors together. This means adding the x-components together, then adding the y-components together, and so on. The resultant vector is then found by using the Pythagorean theorem to calculate the overall magnitude and trigonometry to determine the direction.

3. Can vectors be added in any order?

Yes, vectors can be added in any order. This is known as the commutative property of addition. For example, adding vector A to vector B will give the same result as adding vector B to vector A.

4. What is the difference between vector addition and scalar addition?

Vector addition involves combining vectors together while scalar addition involves combining scalars (numbers) together. In vector addition, both magnitude and direction are considered, while in scalar addition, only magnitude is considered.

5. What is the difference between vector addition and vector subtraction?

Vector addition is the process of combining vectors to form a resultant vector, while vector subtraction is the process of finding the difference between two vectors. In vector subtraction, the direction of the subtracted vector is reversed before adding it to the other vector.

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