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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