document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578147>Question 578147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vectors i, j are unit vectors along the x-axis and y-axis respectively. the vectors u=-i+2j and v=3i+5j are given. A vector w has the same direction as u+2v, and has a magnitude of 26. Find w in terms of i and j. </SPAN>\n" );
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document.write( "u=-i+2j    v=3i+5j\r<BR>\n" );
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document.write( "w= (-i+2j) + 2(3i+5j) <BR>\n" );
document.write( "w1= -i + 2j + 6i + 10j = 5i + 12j\r<BR>\n" );
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document.write( "M(w1) = sqrt(25+144) = 13, this is exactly half the desired magnitude, thus we need to multiply w1 by 2 to get w\r<BR>\n" );
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document.write( "w = 10i 24j\r<BR>\n" );
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document.write( "CHECK:\r<BR>\n" );
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document.write( "M(w) = sqrt(100+576) = sqrt(676) = 26&#8730; </SPAN>\n" );
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