SOLUTION: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show s

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Question 30195: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.
1. Let .
a. Plot z in the complex plane.
b. Compute |z|.
c. What is the angle between the real axis and the line segment joining 0 and z? (Hint: think reference triangle.)
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!

IN THE ABOVE DIAGRAM
OX IS THE INITIAL LINE .....REAL AXIS
OY....IS THE IMAGINARY NUMBER LINE/AXIS
P IS A POINT IN COMPLEX PLANE
LENGTH OP IS CALLED MODULUS OF Z WHICH IS A COMPLEX NUMBER DENOTED BY |Z|
HERE WE PLOTTED P AS 12+5i
|Z|=OP=SQURE ROOT OF (12^2+5^2)=13
ANGLE POX IS TAN INVERSE(5/12)=22.6 DEGREES.