code a program in python to rotate a generic point in 3d a certain angle alpha along any line defined by two points
 Sure! Here's a Python program that rotates a generic point in 3D a certain angle `alpha` around a line defined by two points `point1` and `point2`:
```python
import numpy as np

def rotate_point(point, point1, point2, alpha):
    # Convert alpha from degrees to radians
    alpha = np.radians(alpha)

    # Normalize the rotation axis
    direction = np.subtract(point2, point1)
    direction = direction / np.linalg.norm(direction)

    # Create the rotation matrix
    a = direction[0]
    b = direction[1]
    c = direction[2]
    d = np.cos(alpha)
    e = np.sin(alpha)
    f = 1 - d
    rotation_matrix = np.array([
        [f*a*a + d, f*a*b - e*c, f*a*c + e*b, 0],
        [f*a*b + e*c, f*b*b + d, f*b*c - e*a, 0],
        [f*a*c - e*b, f*b*c + e*a, f*c*c + d, 0
code a program in python to rotate a generic point in 3d a certain angle alpha along any line defined by two points

To rotate a point in 3D around a line defined by two points, you can use the Rodrigues' rotation formula. Here's a Python implementation:

```python
import numpy as np
from scipy.spatial.transform import Rotation as R

def rotate_point(point, line_point1, line_point2, angle):
    # Normalize the line
    line = line_point2 - line_point1
    line_norm = line / np.linalg.norm(line)

    # Create a rotation matrix
    rotation_matrix = R.from_axis_angle(line_norm, angle).as_matrix()

    # Translate the point to the line's origin
    translated_point = point - line_point1

    # Rotate the point
    rotated_point = np.dot(rotation_matrix, translated_point)

    # Translate the point back
    rotated_point += line_point1

    return rotated_point

# Example usage:
point = np.array([1, 0, 0])
line_point1 = np.array([0, 0, 0])
line_point2 = np.array([0, 1, 0])
angle = np.pi /