document.write( "Question 1189173: Please explain how to solve this:\r
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Algebra.Com's Answer #820485 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The line l1 has eq:\r\n" );
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document.write( "\"r\"\"%22%22=%22%22\"\"%28matrix%283%2C1%2C3%2C1%2C2%29%29\"\"%22%22%2B%22%22\"\"t%2A%28matrix%283%2C1%2C-1%2C3%2C2%29%29\"\r\n" );
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document.write( "(a)  the point A(-8,34,n) lies on l1, find the value of n.\r\n" );
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document.write( "\"r\"\"%22%22=%22%22\"\"%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29\"\"%22%22=%22%22\"\"%28matrix%283%2C1%2C3%2C1%2C2%29%29\"\"%22%22%2B%22%22\"\"t%2A%28matrix%283%2C1%2C-1%2C3%2C2%29%29\"\r\n" );
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document.write( "We substitute A for < x,y,z >\r\n" );
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document.write( "\"%28matrix%283%2C1%2C-8%2C34%2Cn%29%29\"\"%22%22=%22%22\"\"%28matrix%283%2C1%2C3%2C1%2C2%29%29\"\"%22%22%2B%22%22\"\"t%2A%28matrix%283%2C1%2C-1%2C3%2C2%29%29\"    \"system%28-8=3-t%2C34=1%2B3t%2Cn=2%2B2t%29\"\r\n" );
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document.write( "Both the first and second equations give t=11, \r\n" );
document.write( "substitute t=11 in the 3rd equation and get n=24.\r\n" );
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document.write( "(b) The line \"r\"\"%22%22=%22%22\"\"%28matrix%283%2C1%2C1%2C-2%2Cu%29%29\"\"%22%22%2B%22%22\"\"s%2A%28matrix%283%2C1%2C-1%2Cp%2Cq%29%29\"\r\n" );
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document.write( "intersects l1 at A and is perpendicular to l1.\r\n" );
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document.write( "We know this second line also goes through A, so we substitute A\r\n" );
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document.write( "\"%28matrix%283%2C1%2C-8%2C34%2C24%29%29\"\"%22%22=%22%22\"\"%28matrix%283%2C1%2C1%2C-2%2Cu%29%29\"\"%22%22%2B%22%22\"\"s%2A%28matrix%283%2C1%2C-1%2Cp%2Cq%29%29\"\r\n" );
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document.write( "I'm tired.  Maybe I'll finish later.  You have to make sure the dot product is zero.\r\n" );
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document.write( "Edwin
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