A vector multiplied by the number 0, results into

Options

A. 0
B. A
C. O
D. `hatA`

Explanation

To solve the question "A vector multiplied by the number 0, results into:", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Vector Multiplication by a Scalar**:
- A vector can be multiplied by a scalar (a real number). When we multiply a vector by a scalar, we scale the vector's magnitude but keep its direction (if the scalar is positive) or reverse its direction (if the scalar is negative).

2. **Multiplying a Vector by Zero**:
- When we multiply any vector \( \mathbf{A} \) by 0, the result is:
\[ 0 \cdot \mathbf{A} = \mathbf{0} \]
- Here, \( \mathbf{0} \) represents the zero vector, which has a magnitude of 0 and no specific direction.

3. **Conclusion**:
- Therefore, the result of a vector multiplied by the number 0 is the zero vector.

4. **Identifying the Correct Option**:
- Based on the options given in the question, the correct answer is the zero vector (often denoted as \( \mathbf{0} \) or simply "0").

### Final Answer:
The result of a vector multiplied by the number 0 is the zero vector.