document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=925093>Question 925093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that A=< 3,1 > and B= <-2,3>, find the magnitude and direction angle for each of the following vectors. Give exact answers using radicals when possible, otherwise round to the nearest tenth.\r<BR>\n" );
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document.write( "1.)  A+B:<BR>\n" );
document.write( "2.)  1/2A-2B:<BR>\n" );
document.write( "3.)  -3A:<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561918 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=561918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) (3,1)+(-2,3)=(3-2,1+3)=(1,4)<BR>\n" );
document.write( "Mag:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%5E2%2B4%5E2%29=sqrt%2817%29 ALIGN=MIDDLE  ALT=\"sqrt%281%5E2%2B4%5E2%29=sqrt%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Direction: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29=4%2F1 ALIGN=MIDDLE  ALT=\"tan%28theta%29=4%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=76 ALIGN=MIDDLE  ALT=\"theta=76\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=degrees ALIGN=MIDDLE  ALT=\"degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2) (0.5)(3,1)-2(-2,3)=(3/2+4,1/2-6)=(11/2,-11/2)<BR>\n" );
document.write( "Mag:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2811%2F2%29%5E2%2B%2811%2F2%29%5E2%29=%2811%2F2%29sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2811%2F2%29%5E2%2B%2811%2F2%29%5E2%29=%2811%2F2%29sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Direction: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29=-1 ALIGN=MIDDLE  ALT=\"tan%28theta%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=335 ALIGN=MIDDLE  ALT=\"theta=335\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=degrees ALIGN=MIDDLE  ALT=\"degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3) 3(3,1)=(9,3)<BR>\n" );
document.write( "Mag:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%289%29%5E2%2B%283%29%5E2%29=sqrt%2890%29=3sqrt%2810%29 ALIGN=MIDDLE  ALT=\"sqrt%28%289%29%5E2%2B%283%29%5E2%29=sqrt%2890%29=3sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Direction: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29=3%2F9 ALIGN=MIDDLE  ALT=\"tan%28theta%29=3%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=18.4 ALIGN=MIDDLE  ALT=\"theta=18.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=degrees ALIGN=MIDDLE  ALT=\"degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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