Norm

$$\Vert \vec{a}\Vert =\sqrt{a_1^2+a_2^2+a_3^2}$$

• Can be the length of magnitude for vectors that have meaning in the real world
• $\Vert \vec{a}\Vert =0⟺\vec{a}=\vec{0}$

Unit Vectors

$\hat{u}=\frac{\vec{u}}{\Vert \vec{u}\Vert }$

• A vector that only represents a direction
• Has a norm of one