Adding and Subtracting Vectors of Different Directions

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SUMMARY

The discussion focuses on calculating the change in velocity when dealing with vectors of different directions, specifically an initial velocity of 6 m/s [North] and a final velocity of 3 m/s [East]. The key equation for change in velocity is established as final velocity minus initial velocity. The solution involves breaking down each vector into its x and y components to facilitate the addition or subtraction of vectors that are not directly opposite. This method is essential for accurately determining the resultant vector.

PREREQUISITES
  • Understanding of vector components in two dimensions
  • Familiarity with basic physics concepts of velocity
  • Knowledge of vector addition and subtraction techniques
  • Proficiency in using trigonometric functions for vector resolution
NEXT STEPS
  • Research "Vector Addition and Subtraction Techniques" for comprehensive methods
  • Learn about "Resolving Vectors into Components" for practical applications
  • Study "Trigonometric Functions in Physics" to enhance understanding of angles
  • Explore "Graphical Representation of Vectors" for visual comprehension
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators seeking to explain vector operations in a clear and structured manner.

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Homework Statement


Given the initial velocity of 6m/s[North] and the final velocity of 3m/s[East], how would you find the change in velocity?

Homework Equations


Change in velocity= final velocity- inital velocity

The Attempt at a Solution


[/B]
I don't know how to do this. I know that if the directions were opposite, like north and south, I could make one direction negative and one positive and then subtract, and the sign infront of my answer would tell me the direction of my answer. But, I don't know what to do when the directions aren't opposites, like north and west or south and east. Is there a method for adding and subtracting vectors of different directions?
 
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Yes. Googling vector addition should give you a pretty clear idea how to go about it.

Essentially, you break each vector into its x and y (and possibly z) components. But Google it for the specifics.
 

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