The components of a displacement vector $\Delta \vec{r}$ between two position vectors $\overrightarrow{r_{1}}$ and $\overrightarrow{r_{2}}$ depend on one's choice of reference frame origin.

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The components of a displacement vector $\Delta \vec{r}$ between two position vectors $\overrightarrow{r_{1}}$ and $\overrightarrow{r_{2}}$ are independent of the choice of reference frame origin, as displacement is concerned only with the change in position, not the absolute position.

The Components of a Displacement Vector Δr⃗\Delta \vec{r}Δr Between Two Position Vectors

The Components of a Displacement Vector $\Delta \vec{r}$ Between Two Position Vectors