The projection of a scene point in world coordinates to pixel coordinates in an image can be represented using a camera projection matrix P as follows: p3 p32 p33 P34 i. *Given a set of lines in a scene that are all parallel to the world X-axis, what is the vanishing point, (u, v), of these lines in the image? Can you conclude whether an infinite line in 3D space always yield an infinite line in the 2D image plane? What is the significance of the image point (represented as a homogeneous 3-vector) given by the last column (pi4, pa, p34) of P? That is, which world point gives rise to (p, p24, p4)? ii. The projection of a scene point in world coordinates to pixel coordinates in an image can be represented using a camera projection matrix P as follows: p3 p32 p33 P34 i. *Given a set of lines in a scene that are all parallel to the world X-axis, what is the vanishing point, (u, v), of these lines in the image? Can you conclude whether an infinite line in 3D space always yield an infinite line in the 2D image plane? What is the significance of the image point (represented as a homogeneous 3-vector) given by the last column (pi4, pa, p34) of P? That is, which world point gives rise to (p, p24, p4)