document.write( "Question 304855: vector v = 2vectori - 5vectorj\r
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document.write( "Find a unit vector in the same direction as vector v\r
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document.write( "A) 2/sqrt29 vector i - 5/sqrt29 vector j
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document.write( "B) 5/sqrt29 vector i - 2/sqrt29 vector j
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document.write( "C) sqrt29/2 vector i - sqrt29/5 vector j
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document.write( "D) sqrt29/5 vector i - sqrt29/2 vector j
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document.write( "E) None\r
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document.write( "Your help is very appreciated.\r
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Algebra.Com's Answer #218334 by themathtutor2009(81)![]() ![]() ![]() You can put this solution on YOUR website! Unit vector u = v/|v|....|v|=magnitude of v\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "v=2i-5j ----> a=2, b=-5\r \n" ); document.write( "\n" ); document.write( "|v| = sqrt(2^2+(-5)^2)=sqrt(4+25)=sqrt(29)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "u = v/|v| = (2i-5j)/sqrt(29) = 2/sqrt(29)i - 5/sqrt(29)j\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer is A \n" ); document.write( " \n" ); document.write( " |