This is part of a carried on question. I don't know how to do the posted part.Help would be appreciated.

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Q:

Referred to an origin $\displaystyle O$, the point $\displaystyle A$, $\displaystyle B$, $\displaystyle C$ have coordinates $\displaystyle (3, 2, 0)$, $\displaystyle (1, 0, 1)$, $\displaystyle (2, 2, 2)$ respectively.

(i) Point $\displaystyle D$ $\displaystyle (4, 4, 1)$ lies on the plane. Show that $\displaystyle AB$ and $\displaystyle DC$ are parallel.

(ii) Find the coordinates of the point where the line $\displaystyle AC$ and $\displaystyle BD$ meet.

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Thanks in advance.