If `sum_(i=1)^a veca_i=vec0,` where `|veca_i|=1 AAi,` then the value of `sum_(1 le i le) sum_(j le n) overlinea_i - overlinea_j` is

Find the value of sum_(1le i,)sum_(jle n)(1) .

if sum_(i=1)^(n)a_(i)=0, where |a_(i)|=1,AA i then the value of sum_(1

If sum_(i=1)^(n) cos theta_(i)=n , then the value of sum_(i=1)^(n) sin theta_(i) .

If sum_(i=1)^(n) cos theta_(i)=n , then the value of sum_(i=1)^(n) sin theta_(i) .

If sum_(i=1)^(n) cos theta_(i)=n , then the value of sum_(i=1)^(n) sin theta_(i) .

If sum_(i=1)^(n)bar(a)_(i)=bar(0), where |bar(a)_(i)=1AA i, then the value of sum_(1<=i<=j<=n)bar(a)_(i)-bar(a)_(j) is

Prove the following sum_(1le i) sum_(lt j le n) (i+j)=(n(n^(2)-1))/(2)

The value of sum_(i=1)^(n) sum_(j=1)^(i) sum_(k=1)^(j) 1 is

If n ge3 and 1,alpha_1, alpha_2, alpha_3....alpha_(n-1) are the , nth roots of unity then find the value of sum_(1 le i lt j le (n-1)) (alpha_i alpha_j )