Which of the following is not a property of a null vector ?

Options

A. `vecA = vec0`
B. `lambda vec0 = vec0` where `lambda` is a scalar
C. `0vecA = vecA`
D. `vecA - vecA = vec0`

Explanation

To determine which of the following is not a property of a null vector, we first need to understand what a null vector is. A null vector is defined as a vector whose magnitude is equal to 0 and has no direction.

### Step-by-Step Solution:

1. **Definition of Null Vector**:
- A null vector is a vector that has a magnitude of 0.
- It is also directionless, meaning it does not point in any specific direction.

2. **Analyzing Properties**:
- Let's consider the properties given in the question and analyze each one:
- **Property 1**: A vector is equal to the null vector (0 vector).
- This is true because a null vector has a magnitude of 0, which means it is equal to the zero vector.
- **Property 2**: λ * 0 = 0 (where λ is any scalar).
- This is also true. If you multiply any vector by zero, the result is the null vector (0 vector).
- **Property 3**: A vector - A vector = 0.
- This is true as well. Subtracting a vector from itself results in the null vector.

3. **Identifying the Incorrect Property**:
- After analyzing the properties, we find that all the properties mentioned are indeed properties of a null vector. However, if there is an option that states something that contradicts the definition of a null vector, that would be the answer.
- The property that states "λ * 0 = 0" is not a property of the null vector, as it is a general property of multiplication involving zero.

4. **Conclusion**:
- The property that is not true for a null vector is the one that states "λ * 0 = 0" in the context of being a property of a null vector.

### Final Answer:
The option that is not a property of a null vector is **C**.