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What Properties of Vector Addition and Scalar Multiplication Are Necessary (5+a)(v+w)=5w+aw+5v+av(5+a)(\vec{v}+\vec{w})=5 \vec{w}+a \vec{w}+5 \vec{v}+a \vec{v}

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What properties of vector addition and scalar multiplication are necessary to show (5+a)(v+w)=5w+aw+5v+av(5+a)(\vec{v}+\vec{w})=5 \vec{w}+a \vec{w}+5 \vec{v}+a \vec{v}

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Commutativity of Addition
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