Ibv9 The triangle ABC is defined by the following vectors

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    Triangle Vectors
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Discussion Overview

The discussion revolves around the geometric representation of triangle ABC defined by vectors, specifically focusing on the vector $\vec{OC}$ and its components. Participants explore the relationship between the x and y components of this vector.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant presents a visual representation of triangle ABC, noting potential issues with the decimal representation of $\vec{OC}$.
  • Another participant requests the x-component of $\vec{OC}$ and suggests finding an equation for the y-component.
  • A participant provides a specific value for the y-component at $x=2$, stating $y=\frac{13}{4}$.
  • Another participant repeats the value for $y$ and questions the notation of $\vec{OC}$.
  • Further clarification on the notation is provided, with the expression of $\vec{OC}$ as a vector.
  • A participant confirms the vector representation of $\vec{OC}$, expressing approval.

Areas of Agreement / Disagreement

Participants generally agree on the values and representation of the vector $\vec{OC}$, but there is some uncertainty regarding the notation and the decimal representation.

Contextual Notes

There are unresolved aspects regarding the notation and the implications of the decimal values in the vector representation.

karush
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View attachment 1227
this is best I can figure for the triangle (shaded)
but $$\vec{OC}$$ looks like it has decimals in it.
View attachment 1226
 
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Good picture, I think. Can you write down the $x$-component of $OC$ immediately? If so, can you think of a way, maybe, to write down an equation governing where the $y$-component must be?
 
At $x=2, y=\frac{13}{4}$
 
karush said:
At $x=2, y=\frac{13}{4}$

You've got it, except for notation. $OC=?$
 
Ackbach said:
You've got it, except for notation. $OC=?$

$$\vec{OC} = \pmatrix{2 \\ 3.25}$$:D
 
karush said:
$$\vec{OC} = \pmatrix{2 \\ 3.25}$$:D

(Clapping)
 

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