1is the ans -pi/3
If A(z1),B(z2),C(z3) are the vertices of an equilateral triangle in the argand plane,then 
is _____
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11 Answers
1sorry for the previous, calculation mistake,
ok, just assume 1,ω,ω2as z1,z2,z3, as they are one of the 3 pairs of vertices of triangle..........
now solve further,.......
it's a good trick for objectives only
& one more thing, the latex is not working,
it cannot be saved as JPEG,
it is saving as GIF.
what to do.?????????/
62umm.. there is a very slight mistake.. dimesnions...
you dont know that the origin is the center!!
You have also used rotation..
the vertices will be
Z1= Z0+r.eiθ
Z2= Z0+r.ei(θ+2pi/3) = Z0+r.eiθω
Z3= Z0+r.ei(θ+4pi/3) = Z0+r.eiθω2
This will be the moregenral proof!
1& i have already mentioned, that it is good for objectives only............
62Yup dimension.. the point that u make is agreed to ....
Sorry din read that part :)
341Use of geometry will simplfiy things greatly
z2+z3-2z1 =(z2-z1)+(z3-z1).
You can see that this is the angular biesctor of z2-z1 and z3-z1 and this will be perpendicular to the third side namely z2-z3
Hence the required argument is 900
62Prophet.. i was thinking of posting this one ;)
But i just stopped short..
Good that you observed it :)
Gr8 work .....