Add two or more vectors component-wise in any dimension and show the resultant.
Vector addition sums corresponding components: (A+B)ᵢ = Aᵢ + Bᵢ. Both vectors must have the same dimension. The resultant's magnitude is computed as the Euclidean norm.
Component-wise Addition
(A + B)ᵢ = Aᵢ + Bᵢ
Yes. You can only add vectors of the same dimension — each component is summed with its counterpart.
Yes. A + B = B + A, just like scalar addition.