Mathematics

Problem

Which one of the following equalities correctly states the distributive property of the dot product for any vectors

\mathbf{a},\,\mathbf{b},\,\mathbf{c}

? a)

(\mathbf{a}+\mathbf{b})\cdot\mathbf{c}=\mathbf{a}\cdot\mathbf{b}+\mathbf{b}\cdot\mathbf{c}

\mathbf{a}\cdot(\mathbf{b}+\mathbf{c})=\mathbf{a}\cdot\mathbf{b}-\mathbf{a}\cdot\mathbf{c}

\mathbf{a}\cdot(\mathbf{b}+\mathbf{c})=\mathbf{a}\cdot\mathbf{b}+\mathbf{a}\cdot\mathbf{c}

(\mathbf{a}+\mathbf{b})\cdot\mathbf{c}=\mathbf{a}\cdot\mathbf{c}+\mathbf{b}\cdot\mathbf{a}