Assignment:
Explain how to derive the formula for the distance between two points in analytic geometry in 3-space. (list each necessary step and describe all terms used). Also to discuss how the Pythagorean theorem helps to find distances in 2 and 3 dimensions.
Write at least three examples of how the distance formula can be used in real-life situations.
Include technology functions using a graphing calculator and computer software applications.
Provide complete and step by step solution for the question and show calculations and use formulas.