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An interactive three dimensional plot with axes labeled
\(x\text{,}\) \(y\text{,}\) and
\(z\) is shown. A bowl shaped surface is shown centered at the origin and extending toward the axis labeled
\(z\text{.}\) A red segment is drawn in the xy-plane where the top slider changes the length of the segment drawn and the bottom slider changes the direction of the segment. The red segment is labeled
\(r\text{.}\) From the end of the red segment, a green segment is drawn parallel to the z-axis. The green segment is the same length as the red segment.