Question

what is a vector quantity? a measurement with just size associated with it a measurement that has both magnitude and a direction any measured amount ratios of quantity to time a measure of how fast distance is covered

Explanation:

To determine the correct definition of a vector quantity, we analyze each option:

• "a measurement with just size associated with it" describes a scalar quantity (only magnitude, no direction), so this is incorrect.
• "a measurement that has both magnitude and a direction" matches the definition of a vector quantity (e.g., velocity, force, displacement have both size and direction).
• "any measured amount" is too vague and does not specify the vector - specific property of direction.
• "ratios of quantity to time" describes rates (like speed is distance over time, but speed can be scalar; this is not the definition of a vector).
• "a measure of how fast distance is covered" describes speed (a scalar quantity, as it has magnitude but no direction specified in this context).

Answer:

B. a measurement that has both magnitude and a direction