If ∑vector ai for i ∈ [i=1, n] = 0 where |ai| = 1 ∀i ∈ n ∈ N, then the value of ∑∑ai . aj for i ∈ [i=1,n], for j ∈ [j=1, n] is
If ∑vector ai for i ∈ [i=1 n] = 0 where |ai| = 1 ∀i ∈ n ∈ N then the value of ∑∑ai . aj for i ∈ [i=1n] for j ∈ [j=1 n] is(A) −n/2 (B) −n (C) n/2 (D) n
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The value of the sum of all terms in this expression is determined by the fact that the vector ai is equal to 0. Each term in the expression is the product of two elements of the vector, so the value of the sum is equal to 0. This means that the value of ∑∑ai . aj for i ∈ [i=1,n], for j ∈ [j=1, n] is 0.
