document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205587>Question 205587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all, I am still struggling a bit with this vectors stuff, hopefully I willahve it sorted after learning how to solve the following:<BR>\n" );
document.write( "I need to calculate 2~u + ~v - 5~w, if ~u = 3~i + 2~j - 7~k, ~v = 5~i - 2~j + 4~k and ~w = 3~i + 2~j - 4~k.<BR>\n" );
document.write( "(Agian the ~ symbols refer to arrows in the positive direction above the values shown)<BR>\n" );
document.write( "Thnaks, -nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155206 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to calculate 2~u + ~v - 5~w, if ~u = 3~i + 2~j - 7~k, ~v = 5~i - 2~j + 4~k and ~w = 3~i + 2~j - 4~k.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "The ~ don't help, they make it harder to see what you mean.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "2u + v - 5w <BR>\n" );
document.write( "if u = 3i + 2j - 7k, v = 5i - 2j + 4k and w = 3i + 2j - 4k<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "+2u = 6i + 4j - 14k<BR>\n" );
document.write( "+1v = 5i - 2j + 4k<BR>\n" );
document.write( "-5w =-15i-10j + 20k<BR>\n" );
document.write( "-------------------- Add them up<BR>\n" );
document.write( "Sum = -4i -8j + 10k </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );