The vector quantily among the following is

Options

A. mass
B. time
C. distance
D. displacement

Explanation

To determine which of the given options is a vector quantity, we need to analyze each option based on the definition of vector quantities. Vector quantities are defined as quantities that have both magnitude and direction. Let's evaluate each option step by step.

### Step 1: Analyze Mass
- **Definition**: Mass is a measure of the amount of matter in an object.
- **Magnitude**: Yes, mass has a magnitude (e.g., 5 kg).
- **Direction**: No, mass does not have a direction.
- **Conclusion**: Mass is a scalar quantity.

### Step 2: Analyze Time
- **Definition**: Time is a measure of the duration of events.
- **Magnitude**: Yes, time has a magnitude (e.g., 10 seconds).
- **Direction**: No, time does not have a direction.
- **Conclusion**: Time is a scalar quantity.

### Step 3: Analyze Distance
- **Definition**: Distance is the total length of the path traveled by an object.
- **Magnitude**: Yes, distance has a magnitude (e.g., 20 meters).
- **Direction**: No, distance does not have a direction; it is simply a measure of how much ground has been covered.
- **Conclusion**: Distance is a scalar quantity.

### Step 4: Analyze Displacement
- **Definition**: Displacement is the shortest distance from the initial to the final position of an object, along with the direction.
- **Magnitude**: Yes, displacement has a magnitude (e.g., 15 meters).
- **Direction**: Yes, displacement has a direction (e.g., 15 meters to the north).
- **Conclusion**: Displacement is a vector quantity.

### Final Conclusion
Among the options provided:
1. Mass - Scalar
2. Time - Scalar
3. Distance - Scalar
4. Displacement - Vector

Thus, the vector quantity among the following is **displacement**.

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