Simple vector problems (but causing me a headache)

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SUMMARY

The discussion focuses on solving vector problems using scale drawings, specifically for vectors A (12.4 m) and B (18.6 m). Participants emphasize the importance of accurately drawing vectors to determine the resultant's magnitude and direction. The primary equations referenced include A + B = √(a² + b²) and Tan(θ) = (ay/ax). The conversation highlights the need for visual representation over purely mathematical equations in this context.

PREREQUISITES
  • Understanding of vector addition and resultant vectors
  • Familiarity with trigonometric functions, specifically tangent
  • Ability to create scale drawings for vector representation
  • Knowledge of basic physics principles related to vectors
NEXT STEPS
  • Learn how to accurately draw vectors using scale drawings
  • Study vector decomposition and its applications in physics
  • Explore the use of graphical methods for vector addition
  • Investigate advanced vector operations, including cross and dot products
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Students studying physics, particularly those tackling vector problems, as well as educators seeking effective teaching methods for vector representation and addition.

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Homework Statement


For the vectors vector A and vector B in the figure below, use a scale drawing to find the magnitude and direction of the following vector operations. (A = 12.4 m, and B = 18.6 m.)
(Measure angles counterclockwise from the +x axis) Visual link below

I was digging a little online and I found another guy with the same problem. He even has the same questions I am stuck on.
http://www.cramster.com/physics-answers-5-631433-cpi0.aspx

The only thing different are the numbers I have which are stated above. Someone replied with the answer but I have no idea how he got them.


Homework Equations



The only ones I have been given are A+ B = The square root of a^2 + b^2
I also have that Tan(theta) = (ay/ax)


The Attempt at a Solution



I got a correct (both the magnitude and angle). However on b I cannot get the angle correct. C and D I am on now. If any help could be provided that would be great. Moreso is how you set up the equations =) I care more on that than the actual answer.
 
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Just draw the vectors accurately, length and angles, then measure the length and angle of the resultant.
 
Hi Wishingwell! :smile:
Wishingwell said:
For the vectors vector A and vector B in the figure below, use a scale drawing to find the magnitude and direction of the following vector operations. (A = 12.4 m, and B = 18.6 m.)

Homework Equations



The only ones I have been given are A+ B = The square root of a^2 + b^2
I also have that Tan(theta) = (ay/ax)

Moreso is how you set up the equations =)

Nooo … the question asks you to "use a scale drawing", not equations. :redface:

Draw a different https://www.physicsforums.com/library.php?do=view_item&itemid=99" for each part of the question, and just measure the third side. :smile:
 
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