Vasuki, as a unique and powerful name, is associated with the Hindu mythological serpent king Vasuki, who played a crucial role in the churning of the cosmic ocean to obtain the elixir of immortality. Just like this serpent king, those born under the name Vasuki are known for their wisdom, adaptability, and strength in facing challenges. With a natural charm and magnetism, Vasukis are often able to sway others to their way of thinking and excel in leadership positions. They possess a keen intellect and are quick to grasp new concepts, making them excellent problem solvers. 

In terms of their horoscope, Vasukis are likely to be born under the signs of Scorpio or Capricorn. Scorpios are known for their intense passion, resourcefulness, and determination, while Capricorns are characterized by their ambition, discipline, and practicality. Both signs indicate a strong sense of purpose and a drive to achieve their goals. In terms of relationships, Vasukis are loyal and devoted partners, but may struggle with letting go of past hurts. It is important for them to work on forgiveness and emotional healing in order to maintain healthy relationships. Overall, those named Vasuki are destined for success and fulfillment, as long as they harness their strengths and work towards their true potential.