Please help Solve this Miller Indices Problem In the unit ce

Please help! Solve this Miller Indices Problem:

In the unit cell of the Si lattice shown below, the origin of coordinates is located at the lower back comer of the unit cell. Find out the Miller indices for a) the plane passing through the atoms marked by BCE b) the plane passing through the atoms marked by AFG c) the direction vector running through the origin and the atom marked by A d)

Solution

i.[000]

ii.[100]

iii.[101]

iv.[111]