Three people live on the unit sphere and are going to walk from North Pole (0,0,1) to the South Pole (0,0,-1). The first person walks along the arc of a great circle that lies in on the coordinate planes. The second person walks along an arc of a great circle that does not lie in one of the coordinate planes, and the third walks along a curve that spirals once around the sphere. Find the parametric equations that describe possible paths for each person.
Three people live on the unit sphere and are going to walk from North Pole (0,0,1) to the South Pole (0,0,-1). The first person walks along the arc of a great circle that lies in on the coordinate planes. The second person walks along an arc of a great circle that does not lie in one of the coordinate planes, and the third walks along a curve that spirals once around the sphere. Find the parametric equations that describe possible paths for each person.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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