If I have a vector $\vec v = \langle1,2,3\rangle$, then I can denote the magnitude with $\| \vec v \| = \| \langle 1,2,3 \rangle \|$, but I don't think I can just show the unit vector with $\hat v = \widehat{\langle1,2,3\rangle}$. How would I show that I plan to take the direction of a vector which is in component form later in the work?
ie, is there an in-line way of writing $\frac{\langle1,2,3\rangle}{\|\langle1,2,3\rangle\|}$?
According to wolfram, you can indeed use the notation $\hat{v}$ to denote $\frac{\overrightarrow{v}}{\|\overrightarrow{v}\|}$
So if
$$\overrightarrow{v} = \langle 1,2,3 \rangle$$
then
$$\hat{v} = \widehat{\langle 1,2,3 \rangle} = \frac{\langle 1,2,3 \rangle}{\|\langle 1,2,3 \rangle\|}$$