document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945474>Question 945474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the points A(0, 0) B(3, 1) and C(1, 4) find the measure of angle ABC? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576652 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=576652\">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%2C5%2C-2%2C5%2Cgrid%281%29%2Ccircle%280%2C0%2C0.15%29%2Ccircle%283%2C1%2C0.15%29%2Ccircle%281%2C4%2C0.15%29%2Cline%280%2C0%2C3%2C1%29%2Cline%283%2C1%2C1%2C4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using B as the origin, then the vector BA becomes (-3,-1) and vector BC becomes<BR>\n" );
document.write( "(-2,3).<BR>\n" );
document.write( "You can use the dot product to solve for the angle since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BA%2ABC=abs%28BA%29abs%28BC%29cos%28theta%29 ALIGN=MIDDLE  ALT=\"BA%2ABC=abs%28BA%29abs%28BC%29cos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%28-2%29%2B%28-1%29%283%29=sqrt%289%2B1%29sqrt%284%2B9%29cos%28theta%29 ALIGN=MIDDLE  ALT=\"-3%28-2%29%2B%28-1%29%283%29=sqrt%289%2B1%29sqrt%284%2B9%29cos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-3=sqrt%2810%29sqrt%2813%29cos%28theta%29 ALIGN=MIDDLE  ALT=\"6-3=sqrt%2810%29sqrt%2813%29cos%28theta%29\"   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=3%2Fsqrt%28130%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29=3%2Fsqrt%28130%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=74.7 ALIGN=MIDDLE  ALT=\"theta=74.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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