Answer
$\frac{5}{3}$
Work Step by Step
Component of $\textbf{v}$ along $\textbf{w}$= $\frac{\textbf{v}\cdot\textbf{w}}{||\textbf{w}||}$
$\textbf{v}\cdot\textbf{w}=(-2\times1)+(\frac{1}{2}\times2)+(3\times2)=5$
$||\textbf{w}||=\sqrt {1^{2}+2^{2}+2^{2}}=3$
Then, the component of $\textbf{v}$ along $\textbf{w}$= $\frac{5}{3}$
