Vector Addition and Subtraction for Homework Help

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SUMMARY

This discussion focuses on vector addition and subtraction, specifically for vectors A and B. The key operations include calculating the vector sum C = A + B, the vector difference D = A - B, the vector E = -A - B, and the vector difference F = B - A. The method involves placing the tail of the second vector at the head of the first for addition, and reversing the direction for subtraction. Additionally, breaking vectors into their (x,y) components is recommended for accurate calculations.

PREREQUISITES
  • Understanding of vector representation in two dimensions
  • Familiarity with vector addition and subtraction principles
  • Knowledge of Cartesian coordinates (x,y)
  • Basic skills in sketching geometric figures
NEXT STEPS
  • Practice vector addition using graphical methods
  • Explore vector subtraction with component breakdown
  • Learn about vector operations in physics applications
  • Study the properties of negative vectors and their implications
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Students studying physics or mathematics, particularly those needing assistance with vector operations in homework assignments.

EmmaB03

Homework Statement


[/B]
For the vectors A and B (shown in the figure attached), carefully sketch:

- The vector sum C = A + B
- The vector difference D = A - B
- The vector E = -A - B
- The vector difference F = B - A

Homework Equations



Please explain how to do this.

The Attempt at a Solution



Don't know what to do :(
 

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When adding two vectors, keep the first one in place, and then put the tail of the second at the head of the first. Then you can draw from the origin to where that second vector's head is, and that's your new vector. Do the same for subtracting, but reverse the direction of the one you're subtracting.

You can also break the vectors up into their (x,y) components and add/subtract those, giving you the (x,y) components for your new vector.
 

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