`vecA + vecB` can also be written as

Options

A. A-B
B. B-A
C. B+A
D. B-A

Explanation

To solve the question, we need to understand the properties of vector addition. The question asks how we can express the sum of two vectors, \( \vec{A} + \vec{B} \), in alternative forms.

### Step-by-Step Solution:

1. **Understanding Vector Addition**:
Vector addition is commutative, meaning that the order in which we add vectors does not matter. Mathematically, this is expressed as:
\[ \vec{A} + \vec{B} = \vec{B} + \vec{A} \]

2. **Analyzing the Options**:
We need to evaluate the given options to see which one correctly represents \( \vec{A} + \vec{B} \).

- **Option 1**: \( \vec{A} - \vec{A} + \vec{B} \)
- This simplifies to \( 0 + \vec{B} = \vec{B} \), which is not equal to \( \vec{A} + \vec{B} \).

- **Option 2**: \( \vec{B} - \vec{A} \)
- This is not equal to \( \vec{A} + \vec{B} \) since it represents a different vector operation (subtraction).

- **Option 3**: \( \vec{B} + \vec{A} \)
- This is valid due to the commutative property of vector addition. Therefore, \( \vec{A} + \vec{B} = \vec{B} + \vec{A} \).

- **Option 4**: \( \vec{B} - \vec{A} \)
- Like option 2, this is also not equal to \( \vec{A} + \vec{B} \).

3. **Conclusion**:
The only valid expression for \( \vec{A} + \vec{B} \) from the given options is:
\[ \vec{A} + \vec{B} = \vec{B} + \vec{A} \]
Thus, the correct answer is **Option 3**: \( \vec{B} + \vec{A} \).