The dimensions of heath operate independently

 No, the dimensions of health are profoundly related.

Explanation:

The dimensions of health can include social, emotional, physical, intellectual, and spiritual dimensions. Here are some examples of various relationships between dimensions:

You're depressed (emotional health) and you do not feel like eating (physical health) or seeing others (social health).

You have a serious illness such as cancer (physical health) and you become sad and depressed (emotional health).  You become angry at God or other higher power (spiritual health).

You have poor self-esteem (emotional health) and do not interact with others (social health).  You may tend to find comfort in overeating (physical health).