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Match each quantity with its classification.

Answer

Temperature - Scalar, magnitude only; Force - Vector, magnitude and direction; Area - Derived quantity; Time - Fundamental quantity

Explanation

### The pairs | Item | Matches | Why | |---|---|---| | Temperature | Scalar, magnitude only | Temperature has a value but no spatial direction. | | Force | Vector, magnitude and direction | A force must be described by its size and the direction in which it acts. | | Area | Derived quantity | Area is calculated from lengths, such as length multiplied by width. | | Time | Fundamental quantity | Time is an independent base quantity, not defined by combining other quantities. | ### The concept Origin and direction are separate ways to classify quantities. A quantity may be fundamental or derived based on how it is defined, and scalar or vector based on whether direction matters. Do not confuse these two classification schemes. ### Terms - **Scalar**: a quantity with magnitude only. - **Vector**: a quantity with magnitude and direction. - **Fundamental quantity**: an independent base quantity. - **Derived quantity**: a quantity formed from other quantities. ### Remember Classify by origin and direction separately.

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