Question #121882

Under vector addition

α+β+γ=γ+β+α is called the ____ law.


1
Expert's answer
2020-06-15T19:11:20-0400

Commutative


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


similarly, α+β=β+α\alpha + \beta = \beta+ \alpha


now adding γ\gamma both sides,


α+β+γ=(β+α)+γ\alpha + \beta + \gamma = (\beta+ \alpha) + \gamma


α+β+γ=γ+β+α\alpha + \beta + \gamma = \gamma +\beta+ \alpha


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