# hw1.2.9 - when ±u =[1 2 3 Solution For ±v we have || ±v...

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Math 43, Fall 2007 B. Dodson Hour Exams: Exam 1 will be on Friday, October 12; and Exam 2 will be on Wednesday, November 14, at our regularly scheduled class time, 11:10-12:00. Week 2: Finish suggested homework 1, consisting of the problems on graded hw 1 plus 1.1 - 5d, 7, 10, 11, 19, 21; 1.2 - 2, 9, 30. Graded Homework 2: 1.2 - 34 and 1.3 - 4, due Mon. Sept 10

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2 Suggested Homework 2: problems from graded Homework 2 plus 1.2 - 22, 23, 35, 36; 1.3 - 6, due (but not collected) Wed. Sept. 12. Second week. 4. Problem 1.2.9, Section 1.2, pg. 26: Find || ±u || and a unit vector in the direction of ±u
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Unformatted text preview: when ±u = [1 , 2 , 3] . Solution: For ±v we have || ±v || = √ ±v ◦ ±v, so for ±v = [ v 1 , v 2 , v 3 ] , || ±v || = p v 2 1 + v 2 1 + v 2 1 . so || ±u || = √ ±u ◦ ±u = √ 1 + 4 + 9 = √ 14 . Then the unit vector in the direction of ±u is 1 √ 14 [1 , 2 , 3] = [ 1 √ 14 , 2 √ 14 , 3 √ 14 ] . continued from week 1: 5. linear combinations, standard coordinates and new coordinates. We also covered 1.1 - #11, 20, pg. 14 6. dot product, right angles and orthogonal vectors. We also started Section 1.2 and covered 1.2 - #1....
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hw1.2.9 - when ±u =[1 2 3 Solution For ±v we have || ±v...

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