MATH 112Z
Written Homework 4
- Unit 4 - Vectors and Identities Fall 2023 NAME: SECTION: 1)
A wilderness explorer leaves from a mountain lodge for an overnight hike. They hike due north for 3 hours. Then they hike northwest for 1 hour and stop to have lunch. After lunch, they head in the direction 10 degrees east of south, and hike for 4 hours, at which time they pitch their tent and settle in for the night. The explorer always hikes at a steady rate of 3 miles per hour. a.) Write three vectors, in component form, to represent the three parts of the hike. b.) How far from the mountain lodge is the explorer at the end of the day? c.) In what direction should the hiker go the next morning to get back to the mountain lodge? 2)
Each set of three points forms a triangle. Write three vectors to represent the three sides of the triangle. Is the triangle a right triangle? Show work using dot products. a.) Point A: (-2, -1) Point B: (-2, 8) Point C: (8, -1) b.) Point D: (3, 4) Point E: (3, 12) Point F: (6, 5)
