How to Calculate Dot Product 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 dot product of the given two vectors, find the sum of the product of corresponding vectors.

Result Vector, \(V_1 \cdot V_2 = (a_1 \times a_2) + (b_1 \times b_2) + (c_1 \times c_2) \)