document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88101>Question 88101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> perform the following operation for the given equation:<BR>\n" );
document.write( "5(v) for v=-3i+2j </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64020 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To multiply the scalar 5 and the vector <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \v{v}=-3i+2j\"> simply multiply the scalar by each component like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5\v{v}=5(-3i+2j)\"> Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5\v{v}=5*(-3i)+5*(2j)\"> Multiply the number 5 by each component of the vector\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5\v{v}=-15i+10j\"> Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5\v{v}=-15i+10j\">\r<BR>\n" );
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document.write( "Here's a visual representation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C+500%2C+-15%2C+15%2C+-15%2C+15%2C%0D%0Agraph%28500%2C+500%2C+-15%2C+15%2C+-15%2C+15%2C0%29%2C%0D%0Ared%28arrow%280%2C0%2C5%2A-3%2C5%2A2%29%29%2C%0D%0Ablue%28arrow%280%2C0%2C-3%2C2%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Plot of the original vector <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \v{v}=-3i+2j\"> (blue) and the resulting vector <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5\v{v}=-15i+10j\"> (red) </SPAN>\n" );
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