The change ina vector may occur due to

Options

A. Rotation of frame of reference
B. Translation of frame of eference
C. Rotation of vector
D. Both (1)/ & (3)

Answer

To address the question "The change in a vector may occur due to," we will analyze the different options provided and determine which one correctly describes how a vector can change.

### Step-by-Step Solution:

1. **Understanding Vector Change**:
A vector is defined by both its magnitude and direction. A change in a vector can occur if either its magnitude, direction, or both change.

2. **Evaluating the Options**:
- **Option A: Rotation of Frame of Reference**:
- When we rotate the frame of reference, the vector itself does not change. Its direction and magnitude remain the same relative to the original frame. Therefore, this option does not indicate a change in the vector.

- **Option B: Translation of Frame of Reference**:
- Translating the frame of reference means shifting the entire coordinate system without altering the orientation. Similar to rotation, this does not change the vector's magnitude or direction. Thus, this option also does not indicate a change in the vector.

- **Option C: Rotation of a Vector**:
- When we rotate a vector itself (not the frame of reference), we can change its direction while keeping its magnitude constant. For example, if we have a vector at a 45-degree angle and we rotate it to a different angle, the direction changes, which means the vector has changed. This option indicates a change in the vector.

3. **Conclusion**:
- The correct answer is **Option C: Rotation of a Vector**. This is the only option that results in a change in the vector's direction while maintaining its magnitude.