document.write( "Question 1178042: A vector pi+qj where p and q are scalars has its magnitude twice that of the vectors i+3j and is parallel to the vector 3i-4j. Find the vector. \n" ); document.write( "

Algebra.Com's Answer #807223 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "A vector pi+qj where p and q are scalars has its magnitude twice that of the vectors i+3j
\n" ); document.write( "and is parallel to the vector 3i-4j. Find the vector.
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document.write( "Since vector pi+qj is parallel to the vector 3i-4j,  we can write\r\n" );
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document.write( "    pi + qj = a*(3i-4j).\r\n" );
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document.write( "where  \"a\"  is the scalar multiplier to the vector.\r\n" );
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document.write( "Next, the vector i+3j has the magnitude   = ,  according to the condition.\r\n" );
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document.write( "It means that   = ,    or\r\n" );
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document.write( "     = ,    or, equivalently,\r\n" );
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document.write( "    5a = ,\r\n" );
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document.write( "so\r\n" );
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document.write( "     a = \r\n" );
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document.write( "THEREFORE,  pi + qj = .    ANSWER\r\n" );
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