Using Component Method to Add Vectors

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SUMMARY

The discussion focuses on using the component method to add two vectors, A and B, each with a magnitude of 3.55 m, where vector A makes an angle of 28.5° with the x-axis. The user initially proposed the resultant vector A + B as (3.12)i + (1.69)j, but faced confusion regarding the correctness of this answer due to the unknown vector B. The conversation highlights the necessity of knowing both vectors to accurately compute the resultant in unit-vector notation.

PREREQUISITES
  • Understanding of vector addition and the component method
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Familiarity with unit-vector notation
  • Basic principles of physics related to vector magnitudes and directions
NEXT STEPS
  • Learn how to calculate vector components using trigonometric functions
  • Study the process of vector addition in two dimensions
  • Explore examples of resultant vectors in physics problems
  • Practice converting between polar and Cartesian coordinates
USEFUL FOR

Students in physics or engineering, educators teaching vector analysis, and anyone seeking to improve their understanding of vector addition using the component method.

shamieh
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Use the component method to add the vectors A and B shown in the figure. Both vectors have magnitudes of 3.55 m and vector A makes an angle of
$θ = 28.5°$ with the x axis. Express the resultant A + B in unit-vector notation.

I don't understand how my answer is wrong.

Isn't it $A + B = (3.12)i + (1.69)j $ ?
 
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shamieh said:
Use the component method to add the vectors A and B shown in the figure. Both vectors have magnitudes of 3.55 m and vector A makes an angle of
$θ = 28.5°$ with the x axis. Express the resultant A + B in unit-vector notation.

I don't understand how my answer is wrong.

Isn't it $A + B = (3.12)i + (1.69)j $ ?
Seeing as we don't know what vector B is we cannot help you much.

-Dan
 
Ahh, nevermind, re-working
 

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