Overview
Vector addition is a binary operation that takes two vectors and
{% \vec{A} + \vec{B} = \vec{C} %}
When the vector space has a
basis,
such that a vector can be represented as
{% \vec{v} = \sum_i v^i \vec{e}_i %}
()Vector addition can then be carried out as
{% \vec{A} + \vec{B} = \sum_i (A^1 + B^1) \vec{e}_1 + ... + (A^n + B^n) \vec{e}_n %}