document.write( "Question 1047975: Complex numbers\r
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document.write( "If z=rcis(theta) FIND: |iz^2| \r
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document.write( "I am confused about how I incorporate the i into the absolute value. I can't remember what it means. Please help and show exactly how I complete the workings. I can easily find the absolute value of z^2 I just really don't understand how to put the i into it. \r
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document.write( "Thank you!! \n" );
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Algebra.Com's Answer #663528 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "If z = a + bi, then iz = i*(a + bi) = ai + b*(i^2) = -b + ai.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, iz is the complex number with the real part -b and the imaginary part ai.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Can you proceed from this point on your own?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is a bunch of my lessons on complex numbers\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( " - Raising a complex number to an integer power\r \n" ); document.write( "\n" ); document.write( " - How to take a root of a complex number\r \n" ); document.write( "\n" ); document.write( " - Solution of the quadratic equation with real coefficients on complex domain\r \n" ); document.write( "\n" ); document.write( " - How to take a square root of a complex number\r \n" ); document.write( "\n" ); document.write( " - Solution of the quadratic equation with complex coefficients on complex domain\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - Solved problems on taking roots of complex numbers\r \n" ); document.write( "\n" ); document.write( " - Solved problems on arithmetic operations on complex numbers\r \n" ); document.write( "\n" ); document.write( " - Solved problem on taking square root of complex number\r \n" ); document.write( "\n" ); document.write( " - Miscellaneous problems on complex numbers\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |