document.write( "Question 1116415: let z be a complex number with arg(z)=theta and |z|=k
\n" ); document.write( "find the following:
\n" ); document.write( "i) arg(2z)
\n" ); document.write( "ii) |z| bar
\n" ); document.write( "iii) |z^2|/|z| bar
\n" ); document.write( "iv) arg(z bar * z^2)
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Algebra.Com's Answer #731319 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "let z be a complex number with arg(z)=theta and |z|=k
\n" ); document.write( "find the following: \r
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document.write( "i) arg(2z)              =    (same as  arg(z) );\r\n" );
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document.write( "ii) |z| bar             z bar is the conjugate to z;  therefore, |z| bar = |z|  (same as for z);\r\n" );
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document.write( "iii) |z^2|/|z| bar      = |z|\r\n" );
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document.write( "iv) arg(z bar * z^2)    =    ( same as arg(z) ).\r\n" );
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\r
\n" ); document.write( "\n" ); document.write( "==================\r
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\n" ); document.write( "\n" ); document.write( "For introductory lessons on complex numbers, look\r
\n" ); document.write( "\n" ); document.write( "    - Complex numbers and arithmetical operations on them\r
\n" ); document.write( "\n" ); document.write( "    - Complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Addition and subtraction of complex numbers in complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Multiplication and division of complex numbers in complex plane\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Complex numbers\".\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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