Which of the following correctly states the commutative property of the dot product…

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Which of the following correctly states the commutative property of the dot product for any vectors

\mathbf{a}

and

\mathbf{b}

\mathbb{R}^3

? (a)

\mathbf{a}\cdot\mathbf{b}=|\mathbf{a}|\,|\mathbf{b}|

(b)

\mathbf{a}\cdot\mathbf{b}=-\mathbf{b}\cdot\mathbf{a}

(c)

\mathbf{a}\cdot\mathbf{b}=\mathbf{b}\cdot\mathbf{a}

(d)

\mathbf{a}\cdot\mathbf{b}=\mathbf{a}\cdot\mathbf{a}