Question

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Answer 1

Answer:

Yes, as per the principle of relativity.

This is precisely the sort of thought experiment Albert Einstein started out with. It turns out that yes, you will be able to see your image in the mirror when you move close to the speed of light. You will also not notice anything strange about that image, or anything strange about things that are moving with you in your local reference frame.

This might seem strange in the sense that the rays of light will appear to take a much longer time to reach the mirror, and a much shorter time to be reflected back to the moving observer, when looking at that observer and his mirror from an inertial reference frame "at rest".

Answer 2

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