複數乘法

🚧 under construction

Last updated 2 years ago

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🚧 under construction

⟩ ⟩ 乘法

若 $\mathbf{z} = a+b\mathbb{i}$ , $\mathbf{w} = c+d\mathbb{i}$ ， $a,b, c,d\in \mathbb{R}$ ，則定義：

$\mathbf{zw} = (ac-bd)+(ad+bc)\mathbb{i}$

$\|\mathbf{u}\|^2 \|\mathbf{v}\|^2 = (\mathbf{u}\cdot \mathbf{v})^2 + (\mathbf{u} \times \mathbf{v})^2$

Last updated 2 years ago

Was this helpful?

⟩ ⟩ 乘法

若 $\mathbf{z} = a+b\mathbb{i}$ , $\mathbf{w} = c+d\mathbb{i}$ ， $a,b, c,d\in \mathbb{R}$ ，則定義：

$\mathbf{zw} = (ac-bd)+(ad+bc)\mathbb{i}$

$\|\mathbf{u}\|^2 \|\mathbf{v}\|^2 = (\mathbf{u}\cdot \mathbf{v})^2 + (\mathbf{u} \times \mathbf{v})^2$