MHB Ibv9 The triangle ABC is defined by the following vectors

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The discussion revolves around defining the triangle ABC using vector notation, specifically focusing on the vector OC. Participants confirm the x-component of OC as 2, while the y-component is noted as 3.25. There is a request for clarification on the notation used for OC. The conversation emphasizes the importance of accurate representation in vector notation. Overall, the participants engage positively, celebrating the correct identification of the vector components.
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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)
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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