Distance formula in dimensional space


Question:

Distance Formula in 2- and 3-Dimensional Space

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.

Provide 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

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Mathematics: Distance formula in dimensional space
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