A body placed in free space is simultaneously acted upon by three forces $\vec{F}_1$, $\vec{F}_2$, and $\vec{F}_3$. The body is in equilibrium. Forces $\vec{F}_1$ and $\vec{F}_2$ are $36\,\text{N}$ due north and $27\,\text{N}$ due east respectively. Which of the following best describes $\vec{F}_3$?