Answers Larvigo 43 022 Represent the complex number graphica

Answers Larvigo 4.3 022. Represent the complex number graphically. Imaginary 12 i mteinary 15 Real 10 15 axis Imaginary 15 12 i Real -15 -10 -5 5 10 15 axis Imaginary 12 i 10 15 axis

Solution

The given vector is 12i

Here xis 0 and y is 12. So we have to select that graph whose x coordinate is 0 and y coordinate is 12

And the correct option is last graph

12i

R= sqrt(12^2)=12

tan theta=y/x=0/12=0

theta=tan^-1(12/0)=pi/2

12(cos pi/2 + i sin pi/2)