Spherical Polar Coordinates

A pilot flies from Karachi to Toronto, Ontario. (a) Describe the displacement vector. (b) What is it’s magnitude ? The latitude and longitude of the two cities are 24.51 N , 67.02 E and 43.42 N , 79.25 W.

(Hint : let the z axis be along the earth’s rotation axis. O (theta) = 90 (degrees) and o (phi) = longitude. The radius of the earth is 6370 km.)

ANS : (a) -1340i – 9882j – 1736k

(b) 10130 km