Three hexagonal unit cell figures $($I$-$III$)$ are shown below, each showing a different slip plane $($shaded$).$

Using the specific $4-$index notation for planes and directions:

$($a$)$ For Case I, what is the shaded slip plane and what are all possible Burgers vectors $(a=0\mathrm{.}295nmc=0\mathrm{.}468nm$