Given , and , calculate and to show that the associative property holds for these…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Given

\mathbf{p}=3\hat{i}-2\hat{j}+5\hat{k}

\mathbf{q}=-\hat{i}+4\hat{j}+2\hat{k}

and

\mathbf{r}=2\hat{i}+\hat{j}-3\hat{k}

, calculate

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

and

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

to show that the associative property holds for these vectors.