Answer
Length: $||{\bf{v}}|| = \sqrt {14} $
Work Step by Step
The vector ${\bf{v}} = \left( {1,3,2} \right)$ is based at the origin and has the head at point $\left( {1,3,2} \right)$. Its length is
$||{\bf{v}}|| = \sqrt {{1^2} + {3^2} + {2^2}} = \sqrt {14} $