The shaking hands and feeling weak could be caused by several factors. Common reasons include low blood sugar (hypoglycemia), dehydration, excessive caffeine intake, stress and anxiety, lack of sleep, and overexertion. Certain medications may also cause these symptoms as side effects. If these symptoms are mild and improve with eating, drinking water, or resting, they might not be serious. However, persistent or worsening symptoms could indicate underlying health conditions such as diabetes, anemia, thyroid disorders, neurological conditions (e.g., Parkinson's disease, multiple sclerosis), heart problems, adrenal gland disorders, or infections. It is important to monitor the symptoms and seek medical attention if they continue or are accompanied by other concerning signs like dizziness, confusion, or rapid heartbeat.