Math Formulas || Vectors || Vector Addition

1. Commutative Property :

For any two vectors $\vec{a}$ and $\vec{b}$,

$\vec{a} + \vec{b} =\vec{b} + \vec{a}$

2. Associative Property :

For any three vectors $\vec{a}$, $\vec{b}$ and $\vec{c}$,

$\left(\vec{a} + \vec{b} \right) +\vec {c} = \vec {a} +\left(\vec{b} + \vec{c} \right)$

3. Distributive Property :

$ m \vec{a} + m \vec{b} = m \left(\vec{a} + \vec{b} \right) $

Where, m is a scalar quantity.