(Solved): a) Find the indices for the directions indicated by the two vectors in the shown sketch below (4 p ...

a) Find the indices for the directions indicated by the two vectors in the shown sketch below (4 points) b) Sketch the following directions within a cubic unit cell: (a) [ \( \overline{1} 23] \), (b) \( [\overline{2} \overline{1} \overline{1}] \), (c) \( [10 \overline{2}] \), (d) \( [133] \). (4 points) c) Sketch the following planes within a cubic unit cell: (a) \( (01 \overline{1}) \), (b) \( (\overline{1} 02) \), (c) \( (1 \overline{1} 2) \), and (d) \( (\overline{1} 3 \overline{1}) \) (12 points)