Physics - Vectors Question with Solution | TestHub

In an open 3D-space, where an object can move easily in any direction, its position with respect to origin O is given by $\vec{r}=x\hat{i}+y\hat{j}+z\hat{k}$, and its distance from the origin is $|\vec{r}|=\sqrt{x^2+y^2+z^2}$.

Using this convention of 3D vectors, consider three points: A (1,1,1), B(2,0,0), and C(3,4,5).