document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189173>Question 1189173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain how to solve this:\r<BR>\n" );
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document.write( "https://docs.google.com/document/d/1SspsOLwJsYo44NsPnNKjAf7lmEUuKn9YK1oUL4PiE9k/edit?usp=sharing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820486 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8.a  Since the point (-8, 34, n) lies on I(1), we know that<BR>\n" );
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document.write( "-8 = 3 -t<BR>\n" );
document.write( "34 = 1+3t<BR>\n" );
document.write( "n = 2 +2t<BR>\n" );
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document.write( "3 -t = -8<BR>\n" );
document.write( "-t = -11<BR>\n" );
document.write( "t = 11<BR>\n" );
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document.write( "n = 2 +2(11) = 24<BR>\n" );
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document.write( "8.b  Two vectors are perpendicular if their dot product is 0<BR>\n" );
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document.write( "We are given that the lines intersect at point A, then<BR>\n" );
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document.write( "-8 = 1 -s<BR>\n" );
document.write( "34 = -2 +s*p<BR>\n" );
document.write( "24 = u +s*q<BR>\n" );
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document.write( "1 -s = -8<BR>\n" );
document.write( "s = 9<BR>\n" );
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document.write( "34 = -2 +9p<BR>\n" );
document.write( "9p = 36<BR>\n" );
document.write( "p = 4<BR>\n" );
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document.write( "24 = u +9q<BR>\n" );
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document.write( "Let t = 0 and s = 0, then<BR>\n" );
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document.write( "vector v = <3-(-8), 1-34, 2-24> = <11, -33, -22><BR>\n" );
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document.write( "vector w = <1-(-8), -2-34, u-24> = <9, -36, u-24><BR>\n" );
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document.write( "The dot product of vectors w and v is 0, therefore<BR>\n" );
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document.write( "9 * 11 +(-33)*(-36) +(-22)*(u-24) = 0<BR>\n" );
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document.write( "99 +1188 -22u +528 = 0<BR>\n" );
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document.write( "-22u +1815 = 0<BR>\n" );
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document.write( "u = 82.5<BR>\n" );
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document.write( "We know that <BR>\n" );
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document.write( "24 = u +9q<BR>\n" );
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document.write( "82.5 +9q = 24<BR>\n" );
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document.write( "9q = -58.5<BR>\n" );
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document.write( "q = -6.5<BR>\n" );
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document.write( "Therefore,<BR>\n" );
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document.write( "p = 4, q = -6.5, u = 82.5<BR>\n" );
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