How to Calculate Addition of Two Vectors?

Consider that we are given two vectors

Vector, \(V_1 = a_1 \vec{i} + b_1 \vec{j} + c_1 \vec{k}\)

Vector, \(V_2 = a_2 \vec{i} + b_2 \vec{j} + c_2 \vec{k}\)

To find the sum of the given two vectors, add the corresponding components of the two vectors.

Result Vector, \(V_1 + V_2 = (a_1 + a_2) \vec{i} + (b_1 + b_2) \vec{j} + (c_1 + c_2) \vec{k}\)