Biblical Answer

Step 1: Understanding the Question

The question asks whether a single act of kindness can change the trajectory of a family's life. This question requires an analysis of the potential impact of kindness on family dynamics and relationships.

Step 2: Defining Kindness

Kindness is defined as unconditional love and a decision to benefit others, even when it's difficult. It's not a means to a personal end, but rather a way to show love and care for others. Kindness is powerful and can have a lasting impact on individuals and families.

Step 3: Examining the Impact of Kindness on Family Life

A single act of kindness can have a profound impact on a family's life. It can create a ripple effect, inspiring others to be kind and showing that kindness is a value that is highly regarded in the family. When kindness is practiced, it can lead to a stronger sense of community and a deeper understanding of the importance of relationships.

Step 4: The Power of Kindness in Changing Trajectories

A single act of kindness can change the trajectory of a family's life by showing that kindness is a priority. It can inspire others to be more considerate and compassionate, leading to a more harmonious and loving family environment. Kindness can also help to break down barriers and build stronger relationships, which can lead to a more positive and supportive family dynamic.

The final answer is: $\boxed{Yes}$

Note: The final answer is a simple "Yes" because the question asks if a single act of kindness can change the trajectory of a family's life, and the analysis provided in the previous steps suggests that it can. The answer is not a numerical value, but rather a confirmation of the potential impact of kindness on family life.