Question

Which mathematical equation represents the Associative Property of vector addition?

Options

• \[\vec{a} + \vec{b} = \vec{b} + \vec{a}\]

• \[(\vec{a} + \vec{b}) + \vec{c} = \vec{a} + (\vec{b} + \vec{c})\]

• \[\vec{a} + \vec{0} = \vec{a}\]

• \[\vec{a} + (-\vec{a}) = \vec{0}\]

Answer 1

The Associative Property states that vectors can be grouped in any order while adding without changing the final sum. This is formulated as \[(\vec{a} + \vec{b}) + \vec{c} = \vec{a} + (\vec{b} + \vec{c})\].