Mathematics

The position vector of a point is simply the vector drawn from the origin to that point—it captures both the direction and distance from $(0,0,0)$ to your target. For any point with coordinates $(x, y, z)$, the position vector is just $\langle x, y, z \rangle$ or $x\mathbf{i} + y\mathbf{j} + z\mathbf{k}$. This is one of the most direct translations in 3D geometry: read the coordinates straight off and write them as a vector.

The position vector of a point is simply the vector drawn from the origin to that point—it captures both the direction and distance from $(0,0,0)$ to your target. For any point with coordinates $(x, y, z)$, the position vector is just $\langle x, y, z \rangle$ or $x\mathbf{i} + y\mathbf{j} + z\mathbf{k}$. This is one of the most direct translations in 3D geometry: read the coordinates straight off and write them as a vector.