document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981088>Question 981088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the vectors u and v are parallel, orthogonal, or neither. <BR>\n" );
document.write( "u = <6, -2>, v = <2, 6> <BR>\n" );
document.write( "Please help, I don't know how to find the direction of the vectors!\r<BR>\n" );
document.write( "\n" );
document.write( "Please help, I don't know how to find the direction of the vectors! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602108 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=602108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether the vectors u and v are parallel, orthogonal, or neither. <BR>\n" );
document.write( "u = <6, -2>, v = <2, 6> <BR>\n" );
document.write( "Please help, I don't know how to find the direction of the vectors!<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Assuming you do not want to use the dot-product.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Direction of \"u\" = arctan(-2/6) = -18.43 degrees<BR>\n" );
document.write( "Direction o \"v\" = arctan(6/2) = 71.56<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Note 18.43 + 71.56 = 90 degrees<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Conclusion:: u and v are perpendicular.<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Using dot-product<BR>\n" );
document.write( "u dot v = (6*2)+(-2*6) = 0<BR>\n" );
document.write( "Therefore u and v are perpendicular.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );