SOLUTION: : Suppose w is a cube root of unity with w not equal to 1 suppose P and Q are the points on complex plane defined by w and (w^2) if O is the origin then what is angle between OP an

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: : Suppose w is a cube root of unity with w not equal to 1 suppose P and Q are the points on complex plane defined by w and (w^2) if O is the origin then what is angle between OP an      Log On


   

Question 1069426: : Suppose w is a cube root of unity with w not equal to 1 suppose P and Q are the points on complex plane defined by w and (w^2) if O is the origin then what is angle between OP and OQ
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
w   = cos(120°) + i*sin(120°),   Point P.


w^2 = cos(240°) + i*sin(240°),   Point Q.



The angle POQ is 120°.


On complex numbers, see the lessons
    - Complex numbers and arithmetic operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".