Given nonzero $x \in \R ^n$, the half-line emanating from $x$ is the set \[ \Set{\lambda x}{\lambda \geq 1} \] A ray through $x$ or in the direction of $x$ is the set \[ \Set{\lambda x}{x \geq 0} \]
\[ \Set{\lambda x}{\lambda \geq 1} \]
\[ \Set{\lambda x}{x \geq 0} \]