document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70748>Question 70748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a vector that has the same direction as 3i - 7j and twice the magnitude. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50510 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=50510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a vector that has the same direction as 3i - 7j and twice the magnitude.<BR>\n" );
document.write( "The direction is tan^-1(-7/3) in the 4th quadrant.<BR>\n" );
document.write( "It is -66.8 degrees or +293.199 degrees<BR>\n" );
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document.write( "The magnitude of the given number is sqrt(7^2+3^2)=sqrt58 =7.616<BR>\n" );
document.write( "Twice that magnitude = 15.23<BR>\n" );
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document.write( "The vector is 15.23(cos293.199 + isin293.199)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "6 - 14i<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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