3D Coordinate System

Using a topographical map, analyze the contours to plan a route through the mountains with minimal elevation changes. Discuss the importance of this analysis in winter sports like skiing or snowshoeing.

Using the equation of a sphere, $x^2 + y^2 + z^2 = 1$, graph the sphere with the given axes.

Solve problems involving different variations of axes given a three-dimensional graph and assess the suitability of the axis variation for the right-hand rule.