Answer
$proj_{\textbf{v}}\textbf{u} = <0,0,0>$
$scal_{\textbf{v}}\textbf{u} = 0$
Work Step by Step
$\textbf{u} = <1,4,7>$
$\textbf{v} = <2,-4,2>$
$\textbf{u} \cdot \textbf{v} = (1)(2) + (4)(-4) + (7)(2)= 2 - 16 + 14 = 0$
$proj_{\textbf{v}}\textbf{u} = (\frac{\textbf{u} \cdot \textbf{v}}{\textbf{v} \cdot \textbf{v}})\textbf{v} = (\frac{0}{\textbf{v} \cdot \textbf{v}})<2,-4,2> = <0,0,0>$
$scal_{\textbf{v}}\textbf{u} = \frac{\textbf{u} \cdot \textbf{v}}{|\textbf{v}|} = (\frac{0}{|\textbf{v}|}) = 0$