def make_vector_constant_velocity(position, joints, velocity):
    """
    A convenience method to make a vector from a list of positions, a list of joints,
    and the same velocity for all joints. 
    
    :param position: A list of servo positions. 
    :param joints: A list of servo ids. 
    :param velocity: The velocity at which to move all joints.
    
    :returns: A vector.
    
    """
    vector = []
    for i in range(len(joints)):
        vector.append((joints[i], position[i], velocity))
    return vector
