$($e$)(6$ pts$)$ Determine the indices for the two directions $($C$,$ D$)$ shown in the following cubic

unit cell and for the direction $($A$)$ in the following hexagonal unit cell. Use the correct

notation and symbols with a $4-$index notation for the hexagonal system.

C:

D:

A

$($f$)(8$ pts$)$ Determine the indices for the planes shown in a cubic unit cell $($left$)$ and for

planes in two hexagonal unit cells $($right$).$ Use the correct notation and symbols with a

$4-$index notation for the hexagonal system.

$($a$)$

$($b$)$

A$.$

B:

$($a$)$:

$($b$)$: