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Problem Which one of the following equalities correctly states the distributive property of the dot product for any vectors a , b , c \mathbf{a},\,\mathbf{b},\,\mathbf{c} a , b , c ( a + b ) ⋅ c = a ⋅ b + b ⋅ c (\mathbf{a}+\mathbf{b})\cdot\mathbf{c}=\mathbf{a}\cdot\mathbf{b}+\mathbf{b}\cdot\mathbf{c} ( a + b ) ⋅ c = a ⋅ b + b ⋅ c a ⋅ ( b + c ) = a ⋅ b − a ⋅ c \mathbf{a}\cdot(\mathbf{b}+\mathbf{c})=\mathbf{a}\cdot\mathbf{b}-\mathbf{a}\cdot\mathbf{c} a ⋅ ( b + c ) = a ⋅ b − a ⋅ c a ⋅ ( b + c ) = a ⋅ b + a ⋅ c \mathbf{a}\cdot(\mathbf{b}+\mathbf{c})=\mathbf{a}\cdot\mathbf{b}+\mathbf{a}\cdot\mathbf{c} a ⋅ ( b + c ) = a ⋅ b + a ⋅ c ( a + b ) ⋅ c = a ⋅ c + b ⋅ a (\mathbf{a}+\mathbf{b})\cdot\mathbf{c}=\mathbf{a}\cdot\mathbf{c}+\mathbf{b}\cdot\mathbf{a} ( a + b ) ⋅ c = a ⋅ c + b ⋅ a Browse the problem library