# Chapter 13 - Vector Geometry - 13.7 Cylindrical and Spherical Coordinates - Exercises - Page 700: 35

The rectangular coordinates are $(0,0,3)$.

#### Work Step by Step

Since $\rho=3, \, \theta=\pi, \, \phi=0$ and $$x=\rho\cos \theta\sin \phi,\quad y=\rho\sin\theta\sin\phi, \quad z=\rho\cos \phi,$$ then we have $$x=3\cos \pi\sin 0=0,$$ $$y=3\sin \pi\sin 0=0,$$ $$z=3\cos 0=3.$$ Hence, the rectangular coordinates are $(0,0,3)$.

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