Final answer:
The vector sum of two vectors, a and b, is found by adding their corresponding components to get the resultant vector in component form.
Step-by-step explanation:
The vector sum of two vectors a and b is represented by simply adding the corresponding components of the vectors. If the vectors are given in their component forms as a = axi + ayj + azk and b = bxi + byj + bzk, then the vector sum (a + b) would be computed as follows:
\(\text{Vector sum} = a + b = (ax + bx)\mathbf{i} + (ay + by)\mathbf{j} + (az + bz)\mathbf{k}\)
This calculation involves adding the x-components, y-components, and z-components of vectors a and b separately to get the components of the resultant vector.