Yes, but only if the size (length) of the arrow is related to some scale.
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Velocity.
The length of the arrow signifies the magnitude or size of the vector.
In short, yes.
A vector.
A vector is represented graphically as an arrow. The direction indicates the direction, the length is proportional to the magnitude of the vector. Note that it is difficult to accurately represent vectors of 3 or more dimensions on a 2-dimensional sheet of paper.