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<article>
<h2 id="1-12-3">1-12-3 Vector 向量</h2>
<h3>向量的定義</h3>
<p>
A vector is an ordered list of numbers that geometrically have directions. A vector
standing from the origin is called ”the vector in its standard position.” Scalar
multiplication of a vector – Given a number c in 𝑅, a vector 𝑣 ⃗ then c𝑣 ⃗ is also a
vector.
</p>
<ol>
<li>
<strong>幾何定義:</strong>
<ul>
<li>
向量可以視為從一個點到另一個點的有向線段。這條線段的長度表示向量的大小,線段的方向表示向量的方向。
</li>
<li>向量通常用粗體字母 (如 v)或在字母上方加箭頭(如 𝑣 ⃗ )表示。</li>
</ul>
</li>
<li>
<strong>代數定義:</strong>
<ul>
<li>
在二維空間中,向量可以表示為有序對 ( 𝑥 , 𝑦 ),其中 𝑥 和 𝑦 是向量在 x 和 y
軸上的分量。
</li>
<li>
在三維空間中,向量表示為有序三元組 ( 𝑥 , 𝑦 , 𝑧 ),其中 𝑥 、 𝑦 和 𝑧 是向量在 x、y 和
z 軸上的分量。
</li>
</ul>
</li>
</ol>
<h3>向量的表示</h3>
<h3>向量的基本運算</h3>
<h3>向量的性質</h3>
<h3>向量的內積外積</h3>
</article>
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