What must be the relationship between the components of the yellow and blue vectors if their sums are zero? Write down a relationship, and then test your answer by finding an arrangement of the yellow and blue vectors so that the sum, the red vector, is zero.

Find an arrangement of the yellow and blue vectors so that the yellow vector has length 3, the blue 4, and the red sum has a length of 5. Is there only one position of the yellow and blue vectors to create this sum?