$2\mathrm{.}2(15$ points$)$ We are given a classifier that performs classification on

R

$2$

$($the space of data points with $2$ features

$($x

$1$

$,$x

$2$

$))$

with the following decision rule $\backslash [$ h$\backslash$left$($x$\_\{1\},$ x$\_\{2\}\backslash$right$)=\backslash$left$\backslash \{\backslash$begin$\{$array$\}\{$ll$\}1,$ & $\backslash$text $\{$ if $\}$ w$\_\{1\}$ x$\_\{1\}+$w$\_\{2\}$ x$\_\{2\}+$b $\backslash$geq $0\backslash \backslash 0,$ & $\backslash$text $\{$ otherwise. $\}\backslash$end$\{$array$\}\backslash$right$.\backslash ]$ Here, the normal vector

w

of the decision boundary is normalized ie$.$: