Definition:Vector Sum

Definition
Let $\vec x = \left({x_1, x_2, \ldots, x_n}\right)$ and $\vec y = \left({y_1, y_2, \ldots, y_n}\right)$ be vectors of an $n$-dimensional vector space.

Then the (vector) sum of $\vec x$ and $\vec y$ is given by:
 * $\vec x + \vec y := \left({x_1 + y_1, x_2 + y_2, \ldots, x_n + y_n}\right)$