Section 13.1: Vector Functions and Space Curves
Exercise 41
Show that the curve with parametric equations \(x=t^2, y=1-3t, z=1+t^3\) passes through the points \((1, -2, 2)\) and \((9, -8, 28)\) but not through the point \((4, 7, -6)\).
Show that the curve with parametric equations \(x=t^2, y=1-3t, z=1+t^3\) passes through the points \((1, -2, 2)\) and \((9, -8, 28)\) but not through the point \((4, 7, -6)\).