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Commit 9a09a985 authored by Maciej Topyla's avatar Maciej Topyla
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fixing figure size

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1 merge request!161st major update src/3_vector_spaces.md
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...@@ -68,11 +68,11 @@ $$\vec{a}_1 = (1, 0, 0) \, ,\qquad \vec{a}_2 = (0, 1, 0)\, ,\qquad \vec{a}_3 = ( ...@@ -68,11 +68,11 @@ $$\vec{a}_1 = (1, 0, 0) \, ,\qquad \vec{a}_2 = (0, 1, 0)\, ,\qquad \vec{a}_3 = (
We can consider one example in the two-dimensional real vector space $\mathbb{R}$, namely the $(x,y)$ coordinate plane, shown below. We can consider one example in the two-dimensional real vector space $\mathbb{R}$, namely the $(x,y)$ coordinate plane, shown below.
<figure markdown> <figure markdown>
![image](figures/3_vector_spaces_1.jpg) ![image](figures/3_vector_spaces_1.jpg){ width="90%" }
<figcaption></figcaption> <figcaption></figcaption>
</figure> </figure>
We see how the same vector $\vec{v}$ can be expressed in two different bases. In the first one (left panel), the Cartesian basis, its components are $\vec{v}=(2,2)$. But in the second basis (right panel), the components are different, being instead $\vec{v}=(2.4 ,0.8)$, In this figure, you can see how the same vector $\vec{v}$ can be expressed in two different bases. In the first one (left panel), the Cartesian basis, its components are $\vec{v}=(2,2)$. But in the second basis (right panel), the components are different, being instead $\vec{v}=(2.4 ,0.8)$,
though the magnitude and direction of the vector itself remain unchanged. though the magnitude and direction of the vector itself remain unchanged.
For many problems, both in mathematics and in physics, the appropiate choice of the vector space basis will significantly facilitate For many problems, both in mathematics and in physics, the appropiate choice of the vector space basis will significantly facilitate
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