Hi I have a midterm this friday, and our prof gave us this practice midterm, i got 6 of the 10 questions but couldnt do the last 4, could you please help me out in this question, i have no idea how to approach it, Thank you.
Consider the central projection in $\mathbb{R^3}$ with respect to point $O$ onto a plane $P$. Let $P_0$ be the plane parallel to $P$ and passing through the origin. Let $L_1, L_2$ be two parallel lines contained in a plane $C$.
a) Describe the images of $L_1$ and $L_2$ in $P$ if the planes $C$ and $P$ are not parallel.
b) Describe their images if the planes $P$ and $C$ are parallel. Justify your answer.