What is the role of A+B+C in finding vector components?

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SUMMARY

The discussion centers on the mathematical problem of finding vector components A, B, and C, specifically addressing the equation A+B+C = -1.90i. The user initially struggles with understanding the role of this equation and how to derive the components of vector B. It is clarified that the resultant vector's i component indicates a specific value, while the j components must sum to zero. The user successfully resolves their confusion by recognizing that i and j correspond to the x and y components, respectively.

PREREQUISITES
  • Understanding of vector notation and components
  • Familiarity with Cartesian coordinates (i.e., x and y axes)
  • Basic knowledge of vector addition and resultant vectors
  • Ability to manipulate algebraic equations involving vectors
NEXT STEPS
  • Study vector decomposition techniques in physics and mathematics
  • Learn about vector addition and subtraction in two dimensions
  • Explore the concept of unit vectors and their applications
  • Practice problems involving resultant vectors and their components
USEFUL FOR

This discussion is beneficial for students studying physics or mathematics, particularly those learning about vector analysis and component resolution. It is also useful for educators seeking to clarify vector concepts for their students.

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Homework Statement


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The Attempt at a Solution



I don't know how to approach this simple problem. I don't know what role A+B+C = -1.90i plays. Even if the vector of B is found, I don't understand how to find the components of B.
 
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Clearly you can see that the resultant of A+B+C gives something i right? That means the sum of the j components=0.

Can you split B into i and j components and use what I said before?
 
I got it, thanks. I was confused because I didn't know that i and j corresponded to x and y.
 

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