Spherical Coordinates

Practice Questions

Calculus 3 › Spherical Coordinates

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$\begin{align*}&\text{A point in space is located, in spherical coordinates, at } (121,148^{\circ},78^{\circ})\text{ of form: } (\rho,\theta,\phi)\&\text{Where }\phi\text{ is the angle between the vector, }\rho\text{, to the point and the }z\text{ axis}.\&\text{What is the position of this point in Cartesian coordinates?}\end{align*}$

A point in space is located, in Cartesian coordinates, at . What is the position of this point in spherical coordinates?

$\begin{align*}&\text{A point in space is located, in Cartesian coordinates, at }(35,-8,-45).\&\text{What is the position of this point in spherical coordinates?}\end{align*}$

$\begin{align*}&\text{A point in space is located, in Cartesian coordinates, at }(-67,14,138).\&\text{What is the position of this point in spherical coordinates?}\end{align*}$

A point in space is located, in Cartesian coordinates, at . What is the position of this point in spherical coordinates?

$\begin{align*}&\text{A point in space is located, in Cartesian coordinates, at }(-32,52,73).\&\text{What is the position of this point in spherical coordinates?}\end{align*}$

$\begin{align*}&\text{A point in space is located, in Cartesian coordinates, at }(38,82,130).\&\text{What is the position of this point in spherical coordinates?}\end{align*}$

$\begin{align*}&\text{A point in space is located, in Cartesian coordinates, at }(100,81,-100).\&\text{What is the position of this point in spherical coordinates?}\end{align*}$

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