document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201853>Question 1201853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this is from my 'Cartesian Equation of a Plane' lesson.\r<BR>\n" );
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document.write( "a. Determine the Cartesian equation of the plane that contains the three points A(-2,3,1), B(3,4,5) and C(1,1,0).\r<BR>\n" );
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document.write( "b. Determine the Cartesian equation of the plane containing the point P(-1,1,0) and perpendicular to the line between the points A(1,2,1) and B(3,-2,0). \r<BR>\n" );
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document.write( "thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836440 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. Determine the Cartesian equation of the plane that contains the three points A(-2,3,1), B(3,4,5) and C(1,1,0).<BR>\n" );
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document.write( "     |-2   3   5|\r\n" );
document.write( "D =  | 3   4   5|\r\n" );
document.write( "     | 1   1   0|\r\n" );
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document.write( "D = 24<BR>\n" );
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document.write( "     | 1   3   5|\r\n" );
document.write( "a =  | 1   4   5| = 7\r\n" );
document.write( "     | 1   1   0|\r\n" );
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document.write( "     |-2   1   5|\r\n" );
document.write( "b =  | 3   1   5| = 17\r\n" );
document.write( "     | 1   1   0|\r\n" );
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document.write( "     |-2   3   1|\r\n" );
document.write( "c =  | 3   4   1| = -13\r\n" );
document.write( "     | 1   1   1|\r\n" );
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document.write( "---> 7x + 17y -13z = 24<BR>\n" );
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document.write( "This is easily done with an Excel sheet.<BR>\n" );
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document.write( "b. Determine the Cartesian equation of the plane containing the point P(-1,1,0) and perpendicular to the line between the points A(1,2,1) and B(3,-2,0). </SPAN>\n" );
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