Answer to Question #121882 in Analytic Geometry for Samson

Question

Under vector addition

α+β+γ=γ+β+α is called the ____ law.

Answer 1

Commutative

As by commutative property, $a+b = b+c$

similarly, $\alpha + \beta = \beta+ \alpha$

now adding $\gamma$ both sides,

$\alpha + \beta + \gamma = (\beta+ \alpha) + \gamma$

$\alpha + \beta + \gamma = \gamma +\beta+ \alpha$