document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043770>Question 1043770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all values of k such that the triangle in R3 with vertices <BR>\n" );
document.write( "A(1,3,-1), B (0,5,-2), C(k,3,1) is a right angle triangle  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658935 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=658935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Slope AB, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1-%28-2%29%29%2F%281.3-0.5%29=-1%2F0.8=-10%2F8=highlight_green%28-5%2F4%29 ALIGN=MIDDLE  ALT=\"%28-1-%28-2%29%29%2F%281.3-0.5%29=-1%2F0.8=-10%2F8=highlight_green%28-5%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Slope AC, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.1%2B1%29%2F%28k-1.3%29=highlight_green%284.1%2F%28k-1.3%29%29 ALIGN=MIDDLE  ALT=\"%283.1%2B1%29%2F%28k-1.3%29=highlight_green%284.1%2F%28k-1.3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Slope BC,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.1%2B2%29%2F%28k-0.5%29=highlight_green%285.1%2F%28k-0.5%29%29 ALIGN=MIDDLE  ALT=\"%283.1%2B2%29%2F%28k-0.5%29=highlight_green%285.1%2F%28k-0.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Slopes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bh%5D ALIGN=MIDDLE  ALT=\"m%5Bh%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bj%5D ALIGN=MIDDLE  ALT=\"m%5Bj%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > of perpendicular lines are related as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bh%5Dm%5Bj%5D=-1 ALIGN=MIDDLE  ALT=\"m%5Bh%5Dm%5Bj%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You can make three such equations using your slopes; and solve each for k. </SPAN>\n" );
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