A scalar has only its magnitude, whereas a vector has a magnitude, a line where it lies, and a direction it points along that line.
The only way to associate vectors and scalars is to think of vector as of arrays of numbers. For example, this [tex](2, 3, 5)[/tex] is a vector in [tex]\mathbb{R}^3[/tex].
Under this logic, scalars are just vectors with dimension 1.
