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Unformatted text preview: . But For the given vectors a and b , Î» ( a âˆ’ 2 b ) = Î» aâˆ’ 3 , âˆ’ 1 A = aâˆ’ 3 Î», âˆ’ Î» A . Thus  Î» ( a âˆ’ 2 b )  = r Î» 2 (( âˆ’ 3) 2 + ( âˆ’ 1) 2 ) =  Î»  r ( âˆ’ 3) 2 + ( âˆ’ 1) 2 =  Î»  âˆš 10 . Consequently, Î» ( a âˆ’ 2 b ) will be a unit vector iF and only iF Î» = Â± 1 âˆš 10 . keywords: vector sum, length, linear combination, unit vector, Version 055 â€“ DGQ05 â€“ gilbert â€“ (55485) 2 003 10.0 points Find the vector v having a representation by the directed line segment âˆ’âˆ’â†’ AB with respect to points A ( âˆ’ 4 , âˆ’ 1) and B ( âˆ’ 3 , 3). 1. v = aâˆ’ 7 , 2 A 2. v = aâˆ’ 1 , 4 A 3. v = a 7 , 2 A 4. v = a 1 , âˆ’ 4 A 5. v = a 1 , 4 A correct 6. v = aâˆ’ 7 , âˆ’ 2 A Explanation: Since âˆ’âˆ’â†’ AB = aâˆ’ 3 + 4 , 3 + 1 A , we see that v = a 1 , 4 A ....
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 Spring '07
 TextbookAnswers
 Linear Algebra, Addition, Vectors, Vector Space

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