# Homework Help: Addition of Vectors by means of Components

1. Jan 28, 2007

### RKNY

1. The problem statement, all variables and given/known data
A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C. The magnitudes of these vectors are A = 5 m, B = 14.0 m, and C = 23.0 m. Using the component method, find the magnitude and direction of the resultant vector A + B + C
http://www.webassign.net/CJ/cj6_1-55.gif" [Broken].

2. Relevant equations
Rx = Ax + Bx + Cx
Ry = Ay + By + Cy

3. The attempt at a solution
Components of A
Ax = 0
Ay = 5

Components of B
Bx = 14.0
By = 0

Components of C
Cx = 18.8
Cy = -23.0

Rx = 32.8
Ry = -18.2

Took the square root of Rx^2 + Ry^2 and found it out to be the answer of 37.5.

I put it in but it tells me that it isn't right?

Last edited by a moderator: May 2, 2017
2. Jan 29, 2007

### cristo

Staff Emeritus
Check your y component of vector C.

3. Jan 29, 2007

### RKNY

It worked out okay, thanks a bunch!

4. Aug 30, 2008

### pstfleur

I have that exact problem now, and I can't come up with the correct answer

5. Aug 30, 2008

### tiny-tim

Welcome to PF!

Hi pstfleur! Welcome to PF!

Show us what you've done, and where you're stuck, and then we'll be able to help!

6. Aug 30, 2008

### pstfleur

Nevermind..Figured it out!!

7. Aug 30, 2008

### pstfleur

Thanks alot thou, I will be sure to use this site through out the semester :)!

8. Sep 3, 2009

### darkphoenix11

Can somebody please tell me how to figure out Cx and Cy. I'm completely lost on how to get those values.

9. Sep 3, 2009

### planck42

Make a right triangle with C being the hypotenuse. Use the 35-degree angle in your construction.