
 $A\,$ is called the initial point or the tail of the vector.
 $B\,$ is called the terminal point or the head of the vector.
memory device: a creature should lead with its head, not its tail
 For ease of language, most people blur the distinction between a vector and the arrow representing it.
Thus, we can say the ‘tail of a vector’ instead of the (more correct) ‘tail of the arrow representing the vector’.
 The vector from an initial point $\,A\,$
to a terminal point $\,B\,$ can be notated by $\,\overrightarrow {AB}\,$.
$\overrightarrow{AB}\,$ can be read aloud as ‘vector $\,A\,$ $\,B\,$’.
 A single letter can be used to represent a
vector.
There are several conventional options for notation:
 put an arrow over the top: $\,\vec v\,$
 make the letter bold in a nonitalic typeface: $\,\boldsymbol{\rm v}\,$
 make the letter bold in an italic typeface: $\,\boldsymbol{v}\,$
When handwriting, use $\,\vec v\,$, since it's difficult to distinguish bold from nonbold in handwriting.
Note that the arrow used in the notation for vectors is a reminder that direction is important!

The letter ‘v’ is commonly used to represent a vector ($\,\vec v\,$, $\boldsymbol{\rm v}\,$, $\,\boldsymbol{v}\,$),
since it's the
first letter in the world vector.

When handwriting, you often put only a halfarrow over the top, like this: $\,\overset{\rightharpoonup}{\smash{v}\vphantom{b}}\,$
It's quicker and easier than making the full arrowhead.

When vectors are used together with scalars, it's important to tell them apart.
Compare the notations (say) $\,k\,\vec v\,$ with $\,k\,\boldsymbol{\rm v}\,$.
Dr. Burns prefers the notation $\,k\,\vec v\,$ as easiest to tell apart.
