Bikram leaves home facing east and walks 3 km. He turns left and walks 2 km, turns right and walks 7 km, turns right and walks 8 km, and then turns right and walks 10 km. Where is he now compared with his home?

Explanation

1. 01

   Headings in order: east, north, east, south, west.

2. 02

   East–west: $3 + 7 = 10$ km east, then 10 km west, so they cancel.

3. 03

   North–south: 2 km north, then 8 km south, leaving 6 km south.

4. 04

   He is 6 km south of home.