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Dimension in this case refers to how many "directions" an object has.

One dimensional means something that only extends in one direction, like a line. Two dimensions is a surface, it has a width and a length, but no thickness.

Thress dimensional is like most stuff we have around us, things with length, width, and height.

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Q: What is one dimensional?
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What are one-dimensional figure and have infintie length?

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