document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070967>Question 1070967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> u: <3, -1><BR>\n" );
document.write( "v: <4, 3><BR>\n" );
document.write( "w: <&#8532; , -8/9 ><BR>\n" );
document.write( "What's the angle between u and v ?<BR>\n" );
document.write( "A.) 48.2<BR>\n" );
document.write( "B.) 55.3<BR>\n" );
document.write( "C.) 58.6<BR>\n" );
document.write( "D.) 61.1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685926 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685926\">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=abs%28abs%28u%29%29=sqrt%283%5E2%2B%28-1%29%5E2%29=sqrt%289%2B1%29=sqrt%2810%29 ALIGN=MIDDLE  ALT=\"abs%28abs%28u%29%29=sqrt%283%5E2%2B%28-1%29%5E2%29=sqrt%289%2B1%29=sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%28v%29%29=%284%5E2%2B3%5E2%29=sqrt%2816%2B9%29=sqrt%2825%29=5 ALIGN=MIDDLE  ALT=\"abs%28%28v%29%29=%284%5E2%2B3%5E2%29=sqrt%2816%2B9%29=sqrt%2825%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the angle between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u ALIGN=MIDDLE  ALT=\"u\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v ALIGN=MIDDLE  ALT=\"v\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28abs%28u%29%29%2Aabs%28abs%28v%29%29%2Acos%28theta%29=u%2Av ALIGN=MIDDLE  ALT=\"abs%28abs%28u%29%29%2Aabs%28abs%28v%29%29%2Acos%28theta%29=u%2Av\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%2810%29%2Acos%28theta%29=3%2A4%2B3%28-1%29 ALIGN=MIDDLE  ALT=\"5sqrt%2810%29%2Acos%28theta%29=3%2A4%2B3%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%2810%29cos%28theta%29=9 ALIGN=MIDDLE  ALT=\"5sqrt%2810%29cos%28theta%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=9%2F5sqrt%2810%29=about0.5692 ALIGN=MIDDLE  ALT=\"cos%28theta%29=9%2F5sqrt%2810%29=about0.5692\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When I calculate that and then apply the inverse cosine function,<BR>\n" );
document.write( "I get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28theta=55.3%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight%28theta=55.3%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );