Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 35 - Think and Explain - Page 684-685: 56

Answer

Yes, it can.

Work Step by Step

No material thing can move faster than light. The illuminated spot isn't a thing. The electrons themselves move slower than the speed of light. Furthermore, there is no energy or information moving perpendicular to the beam - in other words, there is no way to send a faster-than-light signal from one location to another.
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