document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984346>Question 984346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the angle (rounded to the nearest 10 minutes) between the following pair of vectors:\r<BR>\n" );
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document.write( "u=-i-4j<BR>\n" );
document.write( "and<BR>\n" );
document.write( "v=3i-4j\r<BR>\n" );
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document.write( "Enter your answer in degrees, minutes, seconds, enter 0 for the number of seconds.\r<BR>\n" );
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document.write( "Thank you kindly. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605275 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the angle (rounded to the nearest 10 minutes) between the following pair of vectors:\r<BR>\n" );
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document.write( "u=-i-4j<BR>\n" );
document.write( "and<BR>\n" );
document.write( "v=3i-4j<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Angle to terminal point of u = atan(4) =~ 255.96 degs<BR>\n" );
document.write( "Angle to terminal point of v = atan(-4/3) =~ 306.87 degs<BR>\n" );
document.write( "--> Angle between =~ 50.906 degs<BR>\n" );
document.write( "= 50 degs 50'<BR>\n" );
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document.write( "Using trig:<BR>\n" );
document.write( "Make a triangle OUV, O at Origin, U((-1,-4), V(3,-4)<BR>\n" );
document.write( "Side o = UV = 4<BR>\n" );
document.write( "Side u = OV = 5<BR>\n" );
document.write( "Side v = OU = sqrt(17)<BR>\n" );
document.write( "Find angle O<BR>\n" );
document.write( "Use the Cosine Law<BR>\n" );
document.write( "----<BR>\n" );
document.write( "4^2 = 25 + 17 - 2*5*sqrt(17)*cos(O)<BR>\n" );
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document.write( "O = 50.906 degs\r<BR>\n" );
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document.write( " </SPAN>\n" );
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