document.write( "Question 1071024: u: <-1,7>
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document.write( "v: <6,4>
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document.write( "What is the projection of u onto v?
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document.write( "A.) <33/13, 22/13>
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document.write( "B.) <11/26, 22/26>
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document.write( "C.) 17u
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document.write( "D.) 17v \n" );
document.write( "
Algebra.Com's Answer #685972 by Edwin McCravy(20060) You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "To find the projection of u onto v,\r\n" ); document.write( "which is denoted:\r\n" ); document.write( "\r\n" ); document.write( "projvu ,\r\n" ); document.write( "\r\n" ); document.write( "1. Get their dot product: u•v \r\n" ); document.write( "\r\n" ); document.write( "2. Divide that by ∥v∥2\r\n" ); document.write( "\r\n" ); document.write( "3. Multiply by v\r\n" ); document.write( "\r\n" ); document.write( "------------------------- \r\n" ); document.write( "\r\n" ); document.write( "1. Get their dot product:\r\n" ); document.write( "\r\n" ); document.write( "<-1,7>•<6,4> = (-1)(6)+(7)(4) = -6+28 = 22\r\n" ); document.write( "\r\n" ); document.write( "2. Calculate ∥v∥2 = ∥<6,4>∥2 = 62+42 = 36+16 = 52\r\n" ); document.write( "\r\n" ); document.write( "Divide 22 by 52\n" ); document.write( " |