Final answer:
You can photograph a virtual image as cameras capture the light rays regardless of their origin, but you cannot project a virtual image onto a screen without additional optics to converge the rays.
Step-by-step explanation:
A virtual image is formed when the light rays diverge and the brain perceives them as converging from a location behind the mirror or lens, even though they don't actually converge in real space. Despite this, you can photograph a virtual image because a camera sensor or film doesn't differentiate between real and virtual light sources; it just captures light rays that enter the lens. Therefore, you can photograph your reflection in a mirror, which is a virtual image.
However, a virtual image cannot be projected onto a screen by itself because the rays do not converge in real space. To project such an image onto a screen, you would need additional optical components like lenses or mirrors to convert the diverging rays into converging rays that can cast a visible image on the screen.
In summary, while it is not possible to directly project a virtual image on a screen without additional optics, photography of a virtual image is indeed possible, as cameras capture the light rays that form the image.