Adding 2 vectors together graphically

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SUMMARY

When adding two vectors graphically, the correct operations include moving a vector and changing the angle between the vectors. Rotating a vector is not a valid operation for vector addition, as it alters the vector's direction without maintaining its original position. The addition of vectors is typically represented using the head-to-tail method, where the tail of one vector is placed at the head of another. This method visually demonstrates the resultant vector.

PREREQUISITES
  • Understanding of vector representation in two-dimensional space
  • Familiarity with vector addition techniques
  • Basic knowledge of trigonometry for angle manipulation
  • Ability to sketch vectors and their resultant graphically
NEXT STEPS
  • Study the head-to-tail method for vector addition
  • Learn about vector components and their graphical representation
  • Explore the concept of vector rotation and its implications
  • Investigate the use of vector addition in physics problems
USEFUL FOR

Students studying physics or mathematics, educators teaching vector concepts, and anyone interested in graphical representations of vector addition.

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Homework Statement


When adding 2 vectors together graphically, which of the following may be done?
A) moving a vector
B) rotating a vector
C) changing the length of a vector
D) changing the angle between the vectors


Homework Equations


a = ax +ay


The Attempt at a Solution


I think it's rotating a vector but I'm not certain.
 
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Ally385 said:

Homework Statement


When adding 2 vectors together graphically, which of the following may be done?
A) moving a vector
B) rotating a vector
C) changing the length of a vector
D) changing the angle between the vectors


Homework Equations


a = ax +ay


The Attempt at a Solution


I think it's rotating a vector but I'm not certain.

Welcome to the PF.

Why do you say that?

Take two vectors, sketch them individually, and then sketch their addition. What did you do when you sketched their addition?

A = [1,1]
B = [2,3]
C = ? (sketch the answer...)
 

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