document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42110>Question 42110</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Begining Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Floor plans for a building have the four corners of a room located at the points (2,3),(11,6),(-3,18), and (8,21). Determine whether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27241 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the points A, B, C and D be represented by the coordinates (2,3), (11,6), (-3,18) and (8,21) respectively.\r<BR>\n" );
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document.write( "We are to find whether AB and AC are perpendicular to each other.\r<BR>\n" );
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document.write( "Slope of AB = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286-3%29%2F%2811-2%29 ALIGN=MIDDLE  ALT=\"%286-3%29%2F%2811-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F9 ALIGN=MIDDLE  ALT=\"3%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Slope of AC = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818-3%29%2F%28-3-2%29 ALIGN=MIDDLE  ALT=\"%2818-3%29%2F%28-3-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%2F5 ALIGN=MIDDLE  ALT=\"-15%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -3.<BR>\n" );
document.write( "So the product of the slopes of AB and AC is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%28-3%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1.<BR>\n" );
document.write( "Hence AB and AC are perpendicular to each other. </SPAN>\n" );
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