Answer
The statement makes sense.
Work Step by Step
Assume vector A:
$\mathbf{A}=\mathbf{i}+\mathbf{j}+\mathbf{k}$
Here i, j and k are the unit vectors with magnitude $1$.
Now, consider the dot product of this unit vectors i with itself.
$\begin{align}
& \mathbf{i}\cdot \mathbf{i}=1\times 1\times \cos 0{}^\circ \\
& =1
\end{align}$
Thus the given statement makes sense.