document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39700>Question 39700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the magnitude and direction of the vector {-5,12}? The direction is measured from the positive x-axis. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25132 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=25132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the magnitude and direction of the vector {-5,12}? The direction is measured from the positive x-axis.\r<BR>\n" );
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document.write( "For any vector (a,b):<BR>\n" );
document.write( "magnitude = sqrt(a^2+b^2)<BR>\n" );
document.write( "direction = arctan(b/a)\r<BR>\n" );
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document.write( "For your problem:<BR>\n" );
document.write( "magnitide = sqrt(5^2+12^2)= 13<BR>\n" );
document.write( "direction = arctan(-12/5)= 112.62 degrees<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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