Finding magnitudes of vectors given angles

AI Thread Summary
To find the magnitudes of vectors A and B given that A + B + C = 0, one must analyze the angles and directions of each vector. Vector A points negatively, vector B is at a 35-degree angle above the positive x-axis, and vector C has a magnitude of 16 directed 44 degrees below the positive x-axis. The discussion emphasizes the importance of using trigonometric equations, specifically Ax = A cos θ and Ay = A sin θ, to resolve the vectors into their components. Additionally, the law of sines is suggested as a potential method for solving the problem, highlighting the need for a complete understanding of the vector relationships involved. Understanding these concepts is crucial for accurately calculating the magnitudes of vectors A and B.
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?
 
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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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