### Vector Geometry

Food for thought

A ball is thrown from a position $O$ on level ground with initial velocity (in $\mathrm{m\,s^{-1}}$) $\mathbf{u}=5\mathbf{i}+6\mathbf{j}$ where $\mathbf{i}$ is a horizontal direction and $\mathbf{j}$ is vertically upwards.