Question 1206998
Cartesian Form of Complex Numbers refers to the representation of complex numbers in a 'real + imaginary' structure. 
The real part is represented by '{{{x}}}' and the imaginary part is represented by '{{{iy}}}', forming the equation :

{{{z = x + iy}}}

To graph an {{{AC}}} voltage of {{{-9.8+8.9i }}}volts on a complex plane, we plot the real part ({{{-9.8}}}) on the {{{x}}}-axis and the imaginary part ({{{8.9}}}) on the {{{y}}}-axis, the point ({{{-9.8}}}, {{{8.9}}}) .

Then, connect the point ({{{-9.8}}}, {{{8.9}}}) to the origin ({{{0}}}, {{{0}}}) to form the voltage vector.

As you can see, the voltage vector is in Quadrant II.


{{{drawing( 600, 600, -10, 10, -10, 10,
green(arrow(0,0,-9.8,8.9)),blue(line(0,8.9,-9.8,8.9)),blue(line(-9.8,0,-9.8,8.9)),locate(-9.6,9.4,p(-9.8,8.9)),circle(-9.8,8.9,.12),
graph( 600, 600, -10, 10, -10, 10, 0)) }}}