document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043082>Question 1043082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate projvu and then resolve u into u1 and u2, where u1 is parallel to v and u2 is orthogonal to v. \r<BR>\n" );
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document.write( "u=<7,-4> v=<2,1> </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658308 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C10%2C-6%2C6%2Cgrid%281%29%2Cline%287%2C-4%2C0%2C0%29%2Ccircle%282%2C1%2C0.2%29%2Ccircle%287%2C-4%2C0.2%29%2Cline%282%2C1%2C0%2C0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bu%5D=v%2A%28u%2Fabs%28u%29%29=%28v%2Au%29%2Fabs%28u%29=%287%2A2%2B%28-4%29%2A1%29%2Fsqrt%287%5E2%2B4%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bu%5D=%2814-4%29%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"v%5Bu%5D=%2814-4%29%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bu%5D=10%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"v%5Bu%5D=10%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bu%5D=%2810%2F65%29sqrt%2865%29 ALIGN=MIDDLE  ALT=\"v%5Bu%5D=%2810%2F65%29sqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bu%5D=%282%2F13%29sqrt%2865%29 ALIGN=MIDDLE  ALT=\"v%5Bu%5D=%282%2F13%29sqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5Bv%5D=%28u%2Av%29%2Fabs%28v%29=10%2Fsqrt%282%5E2%2B1%5E2%29=10%2Fsqrt%285%29=2sqrt%285%29 ALIGN=MIDDLE  ALT=\"u%5Bv%5D=%28u%2Av%29%2Fabs%28v%29=10%2Fsqrt%282%5E2%2B1%5E2%29=10%2Fsqrt%285%29=2sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5B1%5D=u%5Bv%5D=2sqrt%285%29 ALIGN=MIDDLE  ALT=\"u%5B1%5D=u%5Bv%5D=2sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5B1%5D%5E2%2Bu%5B2%5D%5E2=7%5E2%2B%28-4%29%5E2 ALIGN=MIDDLE  ALT=\"u%5B1%5D%5E2%2Bu%5B2%5D%5E2=7%5E2%2B%28-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282sqrt%285%29%29%5E2%2Bu%5B2%5D%5E2=65 ALIGN=MIDDLE  ALT=\"%282sqrt%285%29%29%5E2%2Bu%5B2%5D%5E2=65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Bu%5B2%5D%5E2=65 ALIGN=MIDDLE  ALT=\"20%2Bu%5B2%5D%5E2=65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5B2%5D%5E2=45 ALIGN=MIDDLE  ALT=\"u%5B2%5D%5E2=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5B2%5D=sqrt%2845%29 ALIGN=MIDDLE  ALT=\"u%5B2%5D=sqrt%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5B2%5D=3sqrt%285%29 ALIGN=MIDDLE  ALT=\"u%5B2%5D=3sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );