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A vector is represented by an arrow What is the significance of the length of the arrow?
The length of the arrow signifies the magnitude or size of the vector.
Can a vector be represented by an arrow only?
Yes, but only if the size (length) of the arrow is related to some scale.
How can you use a graph to show acceleration?
With great difficulty. Acceleration is a vector and that means that it has a direction as well as a magnitude (size). For motion in a plane, the only effective way to show acceleration is to draw lots of arrows from points at regular intervals in a plane such that the length of the arrow is a measure of the magnitude of the acceleration and the direction of the arrow coincides with that of the acceleration. An answer referring to a speed-time graph is totally incorrect. That measures speed in the radial direction only. All apects of motion (displacement, speed, acceleration) in a transsverse direction are completely ignored.
What is the term for the ratio representing the size of an illustration or reproduction in relation to the object it represents?
The term is "scale."
A direction a vector is drawn indicates the magnitude of the vector?
No. The size of the size of the vector drawn indicates the magnitude.
