hmmm so I'm a little conrfused...so I guess okay, the nth roots of unity are the roots of a polynomial equation..(first of all I don't think I really get that)
And, I don't seem to understand how the sum of them equal 0...
So any help would be really appreciated! I really have no idea where to start, and I can use any help.
So essentially the problem is we have a regular polygon P inscribed in a unit circle. This regular polygon has n vertices. Fix one vertex and take the product of the lengths of diagonals...
The question is suppose that F is an inverse square force field, that is,
F(r)=cr/|r^3|
where c is some constant. r = xi + yj + zk. Find the work done by F in moving an object from a point P1 along a path to a point P2 in terms of the distances d1 and d2 from those points to the origin...