document.write( "Question 229691: write MN(line above) as a sum of unit vectors for M(-1,3,-2)and N(-7,5,1) \n" ); document.write( "
Algebra.Com's Answer #170234 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "First we write it as a difference of vectors, \r\n" );
document.write( "but not necessarily unit vectors.\r\n" );
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document.write( "⟨-7-(-1),5-3,1-(-2)⟩ =\r\n" );
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document.write( "⟨-7+1,2,1+2⟩ =\r\n" );
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document.write( "⟨-6,2,3⟩ =\r\n" );
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document.write( "-6i + 2j + 3k\r\n" );
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document.write( "Now that is a sum of scalar multiples of unit vectors\r\n" );
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document.write( "i, j, and k\r\n" );
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document.write( "I have no idea why you would want to write that as\r\n" );
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document.write( "a sum of unit vectors.  But since that's what you say\r\n" );
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document.write( "you want, since i, j, and k are unit vectors, we could\r\n" );
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document.write( "write -6i + 2j + 3k\r\n" );
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document.write( "as this sum of unit vectors:\r\n" );
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document.write( "-i-i-i-i-i-i+j+j+k+k+k\r\n" );
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document.write( "but that is very silly.  Are you sure that's what\r\n" );
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document.write( "you were asked to do?  \r\n" );
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document.write( "Edwin
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