Which of the following units could be associated with a vector quantity ?

Options

A. newton/metre
B. newton metre/second
C. `kg m^(2) s^(2)`
D. newton second

Answer

To determine which of the following units could be associated with a vector quantity, we will analyze the options provided, focusing on the characteristics of vector quantities and their associated units.

### Step-by-Step Solution:

1. **Understanding Vector Quantities**:
- Vector quantities have both magnitude and direction. Examples include displacement, velocity, acceleration, and momentum.

2. **Analyzing Each Option**:
- We will examine the units given in the options to see if they correspond to vector quantities.

3. **Evaluating Option 4**:
- The unit given is Newton multiplied by second (N·s).
- We know that Newton (N) is defined as kg·m/s² (kilogram meter per second squared).
- Therefore, we can express N·s as:
\[ N \cdot s = (kg \cdot m/s^2) \cdot s = kg \cdot m/s \]
- The unit kg·m/s is the unit of linear momentum (p), which is a vector quantity defined as:
\[ p = m \cdot v \]
where m is mass and v is velocity.
- Since linear momentum is a vector quantity, we conclude that N·s is indeed a unit associated with a vector quantity.

4. **Conclusion**:
- Therefore, the correct answer is that the unit Newton multiplied by second (N·s) can be associated with a vector quantity.

### Final Answer:
- The unit that could be associated with a vector quantity is **Newton multiplied by second (N·s)**.