P4.7.5 - distance between two points

The distance between two points.; The distance d between two points (x, y, z) and (x, y, z) is given by 1 1 1 2 2 2 d 2 = (x – x)2 + (y – y)2 + (z – z)2 1 2 1 2 1 2.

Use distance between two points to connect the rule to the data and decision in the question.

This matters because distance between two points determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply distance between two points to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: distance between two points is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.