Evaluate:
(i)`omega`
(ii)`omega^(2)`
(iii) `omega^(3)`

The value of (i)^i is omega -omega^(2) pi/3 none

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))

Find the value of |{:(" "1+i," "i omega," "i omega^(2)),(" "i omega," "i omega^(2)+1," "i omega^(3)),(i omega^(2), i omega^(3), " "i omega^(4)+1):}| , where omega is a non real cube root of unity and i = sqrt(-1) .

Let omega=-(1)/(2)+i(sqrt(3))/(2), then value of the determinant [[1,1,11,-1,-omega^(2)omega^(2),omega^(2),omega]] is (a) 3 omega(b)3 omega(omega-1)3 omega^(2)(d)3 omega(1-omega)

You are given three resistances of 1,2 and 3 ohms. Show by diagrams, how with the help of these resistances you can get: (i) 6Omega (ii) (6)/(11)Omega (iii) 15 Omega

find the value of (1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))

If omega is an imaginary cube root of unity,then find the value of (1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))(1+omega^(5))......(1+omega^(3n))=

Derive the three equation of rotational motion (i) omega = omega_(0) + at (ii) theta = omega_(0)t + 1/2alpha t^(2) (iii) omega^(2) = omega_(0)^(2) + 2alpha theta Under constant angular acceleration. Here symbols have usual meaning.