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\r\n What is a Complex Number?\r\n
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\r\n A complex number is obtained by combining a real number with an imaginary number. Example of a complex number would be \\(2+3i\\), \\(-1+4i\\).\r\n
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\r\n Adding Complex Numbers\r\n
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Let's say we want to add two complex numbers: \\(z_1 = a_1 + b_1 i\\) and \\(z_2 = a_2 +b_2 i\\).
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Add Real Parts Separately
\r\n The real part of the sum of the two complex numbers is given by the adding the real parts of the individual complex numbers.\r\n $$Re(Z_1 + Z_2) = a_1 + a_2 $$\r\n \r\n - \n
Add Imaginary Parts Separately
\r\n The imaginary part of the sum of two complex number is given by the sum of the imaginary parts of the individual complex numbers, i.e.,\r\n $$Im(Z_1+ Z_2) = b_1 + b_2$$\r\n \r\n
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\n Thus, the addition of two complex numbers can be written as\r\n $$Z_1 + Z_2 = a_1 + a_2 + (b_1 + b_2)i$$\r\n
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\n MagicGraph | Adding Complex Numbers using Parallelogram Method\r\n
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\n This MagicGraph offers a visually interactive illustration of the graphical method of adding two complex numbers. This method is also known as parallelogram method.\r\n
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