document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762394>Question 762394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show that the vectors A = 3i - 2j +k , B= i - 3j + 5k , C= 2i + j - 4k form a right angled triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463919 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=463919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+3i+-+2j+%2Bk ALIGN=MIDDLE  ALT=\"A+=+3i+-+2j+%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=+i+-3j+%2B+5k ALIGN=MIDDLE  ALT=\"B=+i+-3j+%2B+5k\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=+2i+%2B+j+-+4k ALIGN=MIDDLE  ALT=\"C=+2i+%2B+j+-+4k\"   DISABLED_style= \"max-width:90%; height:auto;\" > form a right angled triangle, then they satisfy Pythagorean theorem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5E2=A%5E2%2BB%5E2 ALIGN=MIDDLE  ALT=\"C%5E2=A%5E2%2BB%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+3i+-+2j+%2Bk ALIGN=MIDDLE  ALT=\"A+=+3i+-+2j+%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=+i+-3j+%2B+5k ALIGN=MIDDLE  ALT=\"B=+i+-3j+%2B+5k\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=+2i+%2B+j+-+4k ALIGN=MIDDLE  ALT=\"C=+2i+%2B+j+-+4k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB+=+C ALIGN=MIDDLE  ALT=\"A%2BB+=+C\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" >&<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents sides of the triangle\r<BR>\n" );
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document.write( "Then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+sqrt%289+%2B4+%2B1%29=sqrt%2814%29 ALIGN=MIDDLE  ALT=\"A+=+sqrt%289+%2B4+%2B1%29=sqrt%2814%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=+sqrt%281+%2B9+%2B+25%29=sqrt%2835%29 ALIGN=MIDDLE  ALT=\"B=+sqrt%281+%2B9+%2B+25%29=sqrt%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=+sqrt%284+%2B+1+%2B16%29=sqrt%2821%29 ALIGN=MIDDLE  ALT=\"C=+sqrt%284+%2B+1+%2B16%29=sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5E2=A%5E2%2BB%5E2 ALIGN=MIDDLE  ALT=\"C%5E2=A%5E2%2BB%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2835%29%29%5E2=%28sqrt%2814%29%29%5E2%2B%28sqrt%2821%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%2835%29%29%5E2=%28sqrt%2814%29%29%5E2%2B%28sqrt%2821%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " = >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35=14%2B21 ALIGN=MIDDLE  ALT=\"35=14%2B21\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " = >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35=35 ALIGN=MIDDLE  ALT=\"35=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...it's true, so  the triangle is right angled triangle<BR>\n" );
document.write( " </SPAN>\n" );
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