document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089496>Question 1089496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the vectors u and v are parallel, orthogonal, or neither.\r<BR>\n" );
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document.write( "u = <6, -2>, v = <2, 6> </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703847 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallel they would have the same unit vectors.<BR>\n" );
document.write( "Divide both by the magnitude <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2836%2B4%29=sqrt%2840%29 ALIGN=MIDDLE  ALT=\"sqrt%2836%2B4%29=sqrt%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Clearly they're not parallel.<BR>\n" );
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document.write( "Orthogonal means dot product equals zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Av=6%282%29%2B%28-2%29%286%29=12-12=0 ALIGN=MIDDLE  ALT=\"u%2Av=6%282%29%2B%28-2%29%286%29=12-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "They are orthogonal. </SPAN>\n" );
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