document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147491>Question 1147491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two vector v1 and v2 whose sum is <4,1>, where v1 is parallel to <3,5> while v2 is to <3,5> </SPAN>\n" );
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document.write( "A vector parallel to <3,5> is of the form <3a,5a>.<br><BR>\n" );
document.write( "A vector perpendicular to <3,5> is of the form <5b,-3b>.  (The dot product has to be 0.)<br><BR>\n" );
document.write( "We want <3a,5a> + <5b,-3b> to be equal to <4,1>.<br><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a-3b+=+1 ALIGN=MIDDLE  ALT=\"5a-3b+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a%2B15b+=+12 ALIGN=MIDDLE  ALT=\"9a%2B15b+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25a-15b+=+5 ALIGN=MIDDLE  ALT=\"25a-15b+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34a+=+17 ALIGN=MIDDLE  ALT=\"34a+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1%2F2 ALIGN=MIDDLE  ALT=\"a+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+1%2F2 ALIGN=MIDDLE  ALT=\"b+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: v1 = <3/2,5/2>; v2 = <5/2,-3/2>  -->  v1+v2 = <8/2,2/2> = <4,1> </SPAN>\n" );
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