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hi now in this tutorial what I want to do is show you how we can represent complex numbers on something called an Argand diagram normally when we get axis these axes are the x and y axis respectively but when it comes to complex numbers we replace the x axis with the real part of the complex number and the imaginary part replaces the y axis the real part ive just called re and the imaginary part i am you dont have to write re and i am some authors will just keep it as x and y but Im going to keep - re and I am so if we had a complex number lets just say we had the complex number Z 1 equaling 3 plus 2i we represent this on an Argand diagram by going 3 units in the positive real sense and 2 units in the positive imaginary sense and its represented by a line a line with an arrow so it looks like a vector it has length and direction so this would be how we represent z1 then on an Argand diagram suppose i did the complex conjugate of said 1 often written z1 with a little star remember