Answer
$\parallel \mathbf{u}-\mathbf{w}\parallel =\sqrt{10}$
Work Step by Step
Here,
$\begin{align}
& {{a}_{1}}=2 \\
& {{a}_{2}}=-1 \\
& {{b}_{1}}=-5 \\
& {{b}_{2}}=-6
\end{align}$
Therefore,
$\begin{align}
& \mathbf{u}-\mathbf{w}=\left[ 2-\left( -1 \right) \right]\mathbf{i}+\left[ -5-\left( -6 \right) \right]\mathbf{j} \\
& =3\mathbf{i}+\mathbf{j}
\end{align}$
Therefore,
$\begin{align}
& \left\| \mathbf{u}-\mathbf{w} \right\|=\sqrt{{{\left( 3 \right)}^{2}}+{{\left( 1 \right)}^{2}}} \\
& =\sqrt{9+1} \\
& =\sqrt{10}
\end{align}$
