Determine the Miller indices for the directions A and B in Figure $1,$ showing how you

arrived at your answers by first beginning with the coordinates. How long is Vector A$,$ in

terms of the lattice parameter $a.$

Figure $2$

Determine the Miller indices for the planes A and $B$ of the cubic unit cell as shown in Figure

Show how you arrived at your answers by first beginning with the intercepts. State or

indicate the corner where the intercepts are measured from. What is the interplanar distance

of plane $A$ in terms of the lattice parameter $a?$