document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30536>Question 30536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example.  On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.\r<BR>\n" );
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document.write( "1.  Let  .  <BR>\n" );
document.write( "a.	Plot z in the complex plane.<BR>\n" );
document.write( "b.	Compute |z|.<BR>\n" );
document.write( "c.	What is the angle between the real axis and the line segment joining 0 and z?  (Hint: think reference triangle.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17647 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C600%2C-10%2C20%2C-10%2C20%2Cred%28+line%28+0%2C+0%2C+20%2C0+%29+%29%2Clocate%28+0%2C+0%2C+O+%29%2Cred%28+line%28+12%2C+0%2C12%2C5+%29+%29%2Clocate%28+12%2C+0%2C+Q+%29%2Cred%28+line%280%2C0%2C0%2C20+%29+%29%2Cgreen%28line%280%2C0%2C12%2C5%29%29%2Clocate%28+12%2C+5%2C+P+%29%2Clocate%2820%2C0%2CX+%29%2Clocate%280%2C20%2CY%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "IN THE ABOVE DIAGRAM <BR>\n" );
document.write( "OX IS THE INITIAL LINE .....REAL AXIS<BR>\n" );
document.write( "OY....IS THE IMAGINARY NUMBER LINE/AXIS<BR>\n" );
document.write( "P IS A POINT IN COMPLEX PLANE<BR>\n" );
document.write( "LENGTH OP IS CALLED MODULUS OF  Z  WHICH IS A COMPLEX NUMBER DENOTED BY |Z|<BR>\n" );
document.write( "HERE WE PLOTTED P AS 12+5i<BR>\n" );
document.write( "|Z|=OP=SQURE ROOT OF (12^2+5^2)=13<BR>\n" );
document.write( "ANGLE POX IS TAN INVERSE(5/12)=22.6 DEGREES. </SPAN>\n" );
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