Vector Definition: Explaining Left Side to Right Side

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Homework Help Overview

The discussion revolves around the properties of vector addition, specifically exploring the equivalence of two expressions involving vectors. Participants are trying to understand the underlying principles that allow one expression to be rewritten in terms of another.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the reasoning behind the equivalence of two vector expressions. Questions are raised about the nature of the expressions, including whether they represent geometric figures or numerical values.

Discussion Status

Some participants have provided insights into the associative law of vector addition, suggesting it as a key concept in understanding the problem. There appears to be ongoing exploration of the implications of this law in the context of the discussion.

Contextual Notes

One participant expresses confusion specifically about the term "p-tu," indicating a potential area of misunderstanding that may need further exploration. The original poster has included a visual aid, which may influence the discussion but is not detailed in the text.

christian0710
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Hi For some strange reason I just can't see why this is true?? Can anyone help me explain why the left side can be written as the right side? I added a picture.
 

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The thing that confuses me the most is the p-tu.
 
It's just the associative law for addition of vectors:
(v- p)+ (p- tu)= v+ (-p+ p)- tu= v- tu.
 
Ahh that's the trick huh? So is (v- p)+ (p- tu) a geometric figure? Or just something to be considered as numbers.
 

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