$($b$)$ Draw $[0]$ direction within the hexagonal unit cell given

below. $($Show all your step$)(7$ marks$).$

You may use the below equations to convert from the four$-$index

Miller$-$Bravais scheme to the three$-$index scheme.

$U=v+2uor$

$U=u-t$

$V=-u-2tor$

$V=v-t$

$W=w$