Light Yagami's actions in the anime "Death Note" had a significant impact on his relationships with others. Initially, his sense of justice and desire to create a utopia led him to believe that his actions were justified. However, as he continued to use the Death Note to eliminate criminals, his relationships deteriorated. He became more isolated and paranoid, distancing himself from his family and friends. Ultimately, his actions led to betrayal and tragic consequences for those around him, showcasing the destructive nature of his pursuit of power.