# Chapter 6: Vectors

## Transcription

Chapter 6: Vectors

Math 566, Jan 9, 2013 Chapter 6: Vectors When we add vectors, we place them tip to tail. 1 To do this, we simply move them. 3 m 5 m u v u+v= 2 To subtract, we add the opposite. 3 m 5 m u v u v= 3 To subtract, we add the opposite. 3 m 5 m u v u v= 4 The vectors involved are not always parallel. 5 m u v 5 m u+v= 5 It's easy on a grid. v u u+v= 6 7 It's easy on a grid. v u u v= 8 It's easy on a grid. v u u v= 9 Chasles Relation makes adding several vectors easy. D B A C AB + BC + CD = 10 Chasles Relation makes adding several vectors easy. D B A C BD + DC BC = 11 Chasles Relation makes adding several vectors easy. D B A C BD + DC BC = 12 Components make it easy too. v = (3, 2) u = (2, 1) u+v= 13 Components make it easy too. v = (3, 2) u = (2, 1) u+v= 14 Components make it easy too. v = (3, 2) u = (2, 1) 2u 3v = 15 Components make it easy too. v = (3, 2) u = (2, 1) 2u 3v = 16 Components make it easy too. v = (3, 2) u = (2, 1) 2u 3v = 17 Chasles Relation in a parallelogram Consider parallelogram ABCD. Simplify: B A C D 18 Chasles Relation in a parallelogram Consider parallelogram ABCD. Simplify: B A C D 19 Assignment: Vector Addition Exercise pages 280 281: questions 7, 10, 11 20