Which of the following can not valid assignments for outcomes of sample space, `S={omega_(1), omega_(2), omega_(3), omega_(4), omega_(5), omega_(6), omega_(7)}`

If omega = (-1+sqrt3i)/2 , find the value of |(1, omega, omega^2),(omega, omega^2, 1),(omega^2, 1 , omega)|

Define the following terms : Mass percentage (w/w)

Show that a=r omega^(2) .

If omega^(3)=1 and omega ne1 , then (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(5)) is equal to

If omega ne 1 and omega^3=1 , then : (a omega+b+c omega^2)/(a omega^2+b omega+c) + (a omega^2+b+c omega)/(a+b omega+c omega^2) is equal to :

If omega!=1 is a complex cube root of unity, then prove that [{:(1+2omega^(2017)+omega^(2018)," "omega^(2018),1),(1,1+2omega^(2018)+omega^(2017),omega^(2017)),(omega^(2017),omega^(2018),2+2omega^(2017)+omega^(2018)):}] is singular

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

Value of |{:(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega):}| is zero, where omega,omega^(2) are imaginary cube roots of unity.

If omega is cube root of unity, then a root of the equation |(x + 1,omega, omega^2),(omega, x + omega , 1),(omega^2 , 1, x + omega)| = 0 is

Out of the followingg functions representing motion of a particle which represent SHM? y=sin omegat-cos omega t y=sin^2 omega t y=5cos((3pi)/4 - 3 omega t) y=1 + omega t+ omega^2 t^2 .