A vetor is added to an equal and oppsite vector of similar nature,forms a

Options

A. unit vector
B. postion vector
C. null vector
D. dislacement vector

Explanation

To solve the question, we need to analyze what happens when a vector is added to an equal and opposite vector. Let's denote the vector as \( \vec{A} \) and its equal and opposite vector as \( \vec{B} \).

### Step-by-Step Solution:

1. **Define the Vectors**:
Let \( \vec{A} \) be a vector with a certain magnitude and direction. The equal and opposite vector \( \vec{B} \) can be defined as:
\[ \vec{B} = -\vec{A} \]
This means that the magnitude of \( \vec{B} \) is equal to the magnitude of \( \vec{A} \), but the direction is opposite.

2. **Add the Vectors**:
Now, we add the two vectors:
\[ \vec{A} + \vec{B} = \vec{A} + (-\vec{A}) \]

3. **Simplify the Expression**:
When we simplify the expression, we get:
\[ \vec{A} + (-\vec{A}) = \vec{0} \]
Here, \( \vec{0} \) represents the null vector.

4. **Conclusion**:
The result of adding a vector to its equal and opposite vector is the null vector. Therefore, the answer to the question is:
\[ \text{Null vector} \]

### Final Answer:
The correct option is **Option 3: Null vector**.

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