Physics - Vectors Question with Solution | TestHub

The displacement vector $\Delta \vec{r}$ is defined as the change in position, which is the final position vector minus the initial position vector: $\Delta \vec{r}={\vec{r}}_2-{\vec{r}}_1$. Substituting the given vectors: $\Delta \vec{r}=(5\hat{i}-\hat{j})-(2\hat{i}+3\hat{j})=(5-2)\hat{i}+(-1-3)\hat{j}=(3\hat{i}-4\hat{j})$ m.