Which of the following vector is equal as that of `underset(1m)rarr`

Options

A. `underset(1m)larr`
B. `underset(2m)rarr`
C. `underset(1m)rarr`
D.

Explanation

To solve the question of which vector is equal to the vector represented as \( \vec{r} \) with a magnitude of 1 meter, we need to follow these steps:

### Step 1: Understand the properties of equal vectors
For two vectors to be considered equal, they must satisfy the following conditions:
1. **Same Magnitude**: The lengths of the vectors must be identical.
2. **Same Direction**: The vectors must point in the same direction.
3. **Same Physical Quantity**: They must represent the same physical quantity (e.g., displacement, velocity, etc.).

### Step 2: Analyze the given vector
The vector \( \vec{r} \) is given with a magnitude of 1 meter. We need to check the options provided to see which one matches both the magnitude and direction of \( \vec{r} \).

### Step 3: Evaluate the options
- **Option 1**: If this vector points in the opposite direction to \( \vec{r} \), it cannot be equal because the directions are different.
- **Option 2**: If this vector has the same direction as \( \vec{r} \) but a different magnitude, it cannot be equal because the magnitudes differ.
- **Option 3**: If this vector has both the same magnitude (1 meter) and the same direction as \( \vec{r} \), then it is equal to \( \vec{r} \).
- **Option 4**: If this vector points in a direction that is not the same as \( \vec{r} \), it cannot be equal.

### Step 4: Conclusion
Based on the analysis, the vector that has both the same magnitude of 1 meter and the same direction as \( \vec{r} \) is the correct answer.

### Final Answer
The vector equal to \( \vec{r} \) (1 meter) is the one that has the same magnitude and direction as \( \vec{r} \).

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