The vector quantity among the following is

Options

A. mass
B. Time
C. Distance
D. Displacement

Answer

To determine which of the given options is a vector quantity, we need to understand the definitions of vector and scalar quantities.

### Step 1: Understand Vector and Scalar Quantities
- A **vector quantity** is defined as a quantity that has both **magnitude** and **direction**.
- A **scalar quantity** is defined as a quantity that has only **magnitude** and no direction.

### Step 2: Analyze Each Option
1. **Mass**:
- Mass is a measure of the amount of matter in an object.
- It has only magnitude (e.g., 5 kg) and no direction.
- Therefore, mass is a scalar quantity.

2. **Time**:
- Time measures the duration of events.
- It also has only magnitude (e.g., 10 seconds) and no direction.
- Hence, time is a scalar quantity.

3. **Distance**:
- Distance measures the total path length traveled by an object.
- It has only magnitude (e.g., 15 meters) and no direction.
- Thus, distance is a scalar quantity.

4. **Displacement**:
- Displacement measures the change in position of an object and is defined as the shortest distance from the initial to the final position.
- It has both magnitude (e.g., 10 meters) and direction (e.g., 10 meters to the north).
- Therefore, displacement is a vector quantity.

### Step 3: Conclusion
After analyzing all the options, we find that the only vector quantity among the given options is **displacement**.

### Final Answer
**The vector quantity among the following is option 4: Displacement.**

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