Final answer:
To find the distance of an image when an object is at an infinite distance, you can use the simplified lens/mirror equation di = f, where di is the image distance and f is the focal length of the lens or mirror, with the sign depending on whether it's a lens or mirror and the type of image formed.
Step-by-step explanation:
To understand how to find the distance of an infinity norm or calculate image distance for an object at infinity, we often refer to the context of optics, specifically lens and mirror equations. The infinity norm itself is more commonly a concept in mathematics relating to vectors, but it seems the student is asking about the optics concept of an object being at an infinite distance and how to determine the characteristics of the image formed by a lens or mirror.
In optics, when an object is at an infinite distance (do = ∞), the rays coming from it are essentially parallel. If we know the focal length (f) of the lens or mirror, the lens or mirror equation 1/f = 1/do + 1/di can simplify since 1/∞ is zero. Thus, for an object at infinity, the equation simplifies to di = f.
Here, di represents the image distance, and it would be negative for a real image when working with convex lenses or concave mirrors because the image would form on the same side of the lens or mirror as the object.
In summary, if a student needs to find the image distance for an object placed at infinity concerning a lens or mirror with known focal length, they simply use di = -f for lenses (real images) and di = f for mirrors (virtual images).