. . Rectangular form Definition . (Rectangular form of a complex number) A complex number is of the form x iy yi ++ ++ or , where x and y are real numbers.
x is called the real part and y is called the imaginary part of the complex number. If x = , the complex number is said to be purely imaginary. If y = , the complex number is said to be real. Zero is the only number which is at once real and purely imaginary.
It is customary to denote the standard rectangular form of a complex number x iy as z and we write x = Re( ) and = Im( ) . For instance, Re Im The numbers of the form i , are called imaginary (non real complex) numbers. The equality of complex numbers is defined as follows. Definition .
Two complex numbers z iy and z iy are said to be equal if and only if Re( Re( == and Im( Im( == . That is x == == For instance, if , then