Find C vector, with two known magnitudes

In summary, the conversation discusses using the law of cosines to solve a physics problem, specifically finding the degree of an angle. The conversation includes a request for assistance and a step-by-step explanation of the solution. The final solution involves taking the square root of a specific equation and using the tangent function to find the degree.
  • #1
Casodd
2
0

Homework Statement


https://i.imgur.com/UtLzb34.png

Homework Equations


the law of cosinus

The Attempt at a Solution


I have not been available to scan my work, but I'm kinda stuck at the beginning. And our teacher have not show us this kind of physics yet.
Thanks.
 
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  • #2
Welcome to PF, what method have you already tried? I'm assuming you are using the tail-to-tip method since the law of cosines relevant. What exactly are you having trouble with?

Edit: I would appreciate even just a photo of your work (make sure its neat and legible).
 
  • #3
So all I have to do is take the square root of ( |A|^2+ |B|^2cos79 ) ?
and then do tan delta to find the degree? (Which is not the question) ?
picture:
Q87BV0L.png


Thanks for answering.
 

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  • #4
Casodd said:
So all I have to do is take the square root of ( |A|^2+ |B|^2cos79 ) ?
and then do tan delta to find the degree? (Which is not the question) ?
picture:
View attachment 218369

Thanks for answering.
Yes, this looks accurate. That's how I did it. Good job!
 

FAQ: Find C vector, with two known magnitudes

1. What is the formula for finding the magnitude of vector C?

The formula for finding the magnitude of vector C is |C| = √(A² + B²), where A and B are the known magnitudes of the other two vectors.

2. How do you find the direction of vector C?

The direction of vector C can be found using trigonometry and the known magnitudes of the other two vectors. The angle between vector C and one of the other vectors can be determined using the inverse tangent function.

3. Can vector C have a magnitude of zero?

Yes, vector C can have a magnitude of zero if the known magnitudes of the other two vectors are also zero. This means that vector C is essentially non-existent.

4. Is it possible to find vector C with only one known magnitude?

No, it is not possible to find vector C with only one known magnitude. Vector C is a combination of two other vectors, so both magnitudes are necessary in order to determine its magnitude and direction.

5. Can vector C have a different direction from the other two vectors?

Yes, vector C can have a different direction from the other two vectors. The direction of vector C is determined by the angle between it and one of the other vectors, so it is possible for it to have a different direction.

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