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Unformatted text preview: . But For the given vectors a and b , λ ( a − 2 b ) = λ a− 3 , − 1 A = a− 3 λ, − λ A . Thus  λ ( a − 2 b )  = r λ 2 (( − 3) 2 + ( − 1) 2 ) =  λ  r ( − 3) 2 + ( − 1) 2 =  λ  √ 10 . Consequently, λ ( a − 2 b ) will be a unit vector iF and only iF λ = ± 1 √ 10 . keywords: vector sum, length, linear combination, unit vector, Version 055 – DGQ05 – gilbert – (55485) 2 003 10.0 points Find the vector v having a representation by the directed line segment −−→ AB with respect to points A ( − 4 , − 1) and B ( − 3 , 3). 1. v = a− 7 , 2 A 2. v = a− 1 , 4 A 3. v = a 7 , 2 A 4. v = a 1 , − 4 A 5. v = a 1 , 4 A correct 6. v = a− 7 , − 2 A Explanation: Since −−→ AB = a− 3 + 4 , 3 + 1 A , we see that v = a 1 , 4 A ....
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This note was uploaded on 05/02/2011 for the course M 408 D taught by Professor Textbookanswers during the Spring '07 term at University of Texas at Austin.
 Spring '07
 TextbookAnswers

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