Understand i as a number with i^2=-1 and represent complex numbers as a+bi.
Plot a complex number \(a+bi\) on the complex plane
Problem
For \(3+4i\), use the real part as the horizontal coordinate and the imaginary coefficient as the vertical coordinate. Write the ordered pair plotted on the \(\text{complex}~\text{plane}\).
The complex plane maps a plus b times i to the real ordered pair a comma b. We’ll extract the real part for horizontal motion, use the imaginary coefficient—not the term containing i—for vertical motion, plot the signs correctly, and map the point back to verify it.
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