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hwsol_1 - Homework Assignment 1(10.1 Solutions Page 796 j b...

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Homework Assignment 1 - (10.1) - Solutions Page 796: 12. a ! " ! 2 i ! # j ! , b ! " 3 i ! a ! # b ! " i ! # j ! , a ! ! 2 b ! " ! 8 i ! # j ! , 3 a ! " ! 6 i ! # 3 j ! 5 b ! ! 2 a ! " 19 i ! ! 2 j ! , 5 b ! ! 2 a ! " 19 2 # ! ! 2 " 2 " 365 24. a ! " ! 2 i ! # j ! , b ! " 4 i ! # 2 j ! Since b ! " ca ! , a ! and b ! are not parallel. 34. A ! 1,1 " , B ! ! 2,4 " u ! "$ ! 2 ! 1, 4 ! 1 %"$ ! 3,3 % 42. From ! ! 2,0 " to ! 1,4 " , a. u ! "$ 1 ! ! ! 2 " , 4 ! 0 %"$ 3,4 % , the unit vector " 1 3 2 # 4 2 $ 3,4 %"$ 3 5 , 4 5 % b. r " 5, cos ! ! " " 3 5 , and sin ! ! " " 4 5 , ! " arctan 4 3 Polar form: point 5, arctan 4 3 , vector 5 $ 3 5 , 4 5 % 46. magnitude 4,
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