Section 13.1: Vector Functions and Space Curves
Exercise 27
Show that the curve with parametric equations \(x = t \cos t, y = t \sin t, z = t\) lies on the cone \(z^2 = x^2 + y^2\), and use this fact to help sketch the curve.
Show that the curve with parametric equations \(x = t \cos t, y = t \sin t, z = t\) lies on the cone \(z^2 = x^2 + y^2\), and use this fact to help sketch the curve.