document.write( "Question 1073780: Suppose that vectors [a, b] and [c, d] are perpendicular. Show that ac + bd = 0. \n" ); document.write( "
Algebra.Com's Answer #688584 by Edwin McCravy(20055)\"\" \"About 
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document.write( "The vector < a,b > when placed with tail at the origin \r\n" );
document.write( "(0,0) and tip at point (a,b) has slope: \r\n" );
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document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28b-0%29%2F%28a-0%29=b%2Fa\"\r\n" );
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document.write( "Similarly, The vector < c,d > when placed with tail at \r\n" );
document.write( "the origin (0,0) and tip at point (c,d) has slope: \r\n" );
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document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28d-0%29%2F%28c-0%29=d%2Fc\"\r\n" );
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document.write( "Since they are given to be perpendicular, their slopes\r\n" );
document.write( "and opposite signed reciprocals.\r\n" );
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document.write( "Thus \"b%2Fa=-c%2Fd\".\r\n" );
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document.write( "Multiply both sides by ad\r\n" );
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document.write( "\"bd+=+-ac\"\r\n" );
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document.write( "\"ac+%2B+bd+=+0\"\r\n" );
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document.write( "Edwin
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