For any vectors in space

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

Problem

For any vectors

\mathbf{p},\mathbf{q},\mathbf{r}

in space, which identity below illustrates the associative property of vector addition? (a)

k(\mathbf{p}+\mathbf{q})=k\mathbf{p}+k\mathbf{q}

(b)

|\mathbf{p}+\mathbf{q}|=|\mathbf{p}|+|\mathbf{q}|

(c)

(\mathbf{p}+\mathbf{q})+\mathbf{r}=\mathbf{p}+(\mathbf{q}+\mathbf{r})

(d)

\mathbf{p}+\mathbf{q}=\mathbf{q}+\mathbf{p}