Consider a rectangular coordinate system with origin at the center of the earth, $z$-axis through the North Pole, and $x$-axis through the prime-meridian. Find the rectangular coordinates of Beijing, China ($39^{\circ}55' \text{N}$, $116^{\circ}25' \text{E}$). A minute is $1/60^{\circ}$. Assume the earth is a sphere of radius $R=6367 \text{ km}$.

Beijing has coordinates .

Usage: To enter a point, for example $(x,y,z)$, type "(x, y, z)".