Physics

The position vector is simply a way to describe where a point lives in 3D space using the standard coordinate axes. Each coordinate ($x$, $y$, $z$) tells you how far to travel along each axis direction, and the unit vectors $\hat{i}$, $\hat{j}$, $\hat{k}$ are the "directions" for those journeys. Just add up the three displacement components along each axis.

The position vector is simply a way to describe where a point lives in 3D space using the standard coordinate axes. Each coordinate ($x$, $y$, $z$) tells you how far to travel along each axis direction, and the unit vectors $\hat{i}$, $\hat{j}$, $\hat{k}$ are the "directions" for those journeys. Just add up the three displacement components along each axis.