Finding magnitudes of vectors given angles

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Homework Help Overview

The problem involves finding the magnitudes of vectors A and B given their directions and the condition that the sum of vectors A, B, and C equals zero. Vector A points in the negative direction, vector B is at an angle of 35.0 degrees above the positive axis, and vector C has a magnitude of 16 and points 44.0 degrees below the positive axis.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of trigonometric relationships to resolve the vectors, with one participant questioning the clarity of the equations provided. There is also a suggestion to use the law of sines as a potential approach.

Discussion Status

The discussion is ongoing, with participants exploring different methods and clarifying the problem's requirements. Some guidance has been offered regarding the use of trigonometric laws, but no consensus has been reached on a specific approach.

Contextual Notes

There is a noted lack of complete information regarding the problem setup, as one participant requests the full question to better understand the context of the vectors involved.

randomhobo
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Homework Statement



Vector A points in the negative direction. Vector B points at an angle of 35.0 above the positive axis. Vector C has a magnitude of 16 and points in a direction 44.0 below the positive axis.
Given that A+B+C=0 , find the magnitudes of A and B .

Homework Equations



Ax cos θ
Ay sin θ

The Attempt at a Solution


I think I have the picture of the triangle graphed out, but since there are no 90 degree angles, how do I use the relevant equations to find the magnitudes?
 
Last edited:
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randomhobo said:

Homework Equations



Ax cos θ
Ay sin θ

That's not an equation, it's just a formula with some variables and a cosine.
Maybe you can look up precisely what formula you wanted to write there and explain to us what it means?
(This is not to be strict about the rules; but if you mean what I think you mean, then understanding what that formula says is the key to the solution)

Also, can you post the complete question? You just defined A, B and C, and you have to calculate the missing magnitudes, if I understand it correctly, but that is not enough info.
 
Try using the law of sines (I believe this works).
 
Thanks for this, very helpful



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