On the BCC unit cell below

a$)$ Sketch and identify $($magnitude and direction$)$ the Burgers vector for a Right Hand Screw dislocation whose tangent vector is parallel to the $[111]$ direction.

b$)$ Sketch a favorable slip plane for the dislocation in $($a$)$ and give its Miller indices. $($Recall from your homework which family of planes has the highest paking density in this structure, i$.$e$.\{111\},\{110\}$ or $\{100\}.$