Question

Which property of vector addition states that changing the order of vectors does not change their sum, represented as \[\vec{a} + \vec{b} = \vec{b} + \vec{a}\]?

Options

• Commutative Property

• Additive Identity Property

• Distributive Property

• Associative Property

Answer 1

The Commutative Property states that changing the order in which two vectors are added does not alter the resulting sum. Mathematically, it is expressed as \[\vec{a} + \vec{b} = \vec{b} + \vec{a}\].