Question
58. Normal curves A smooth curve is normal to a surface f(x, y, z) = c at a point of intersection if the curve's velocity vector is a nonzero scalar multiple of Vf at the point.Show that the curve \mathbf{r}(t)=\sqrt{t} \mathbf{i}+\sqrt{t} \mathbf{j}-\frac{1}{4}(t+3) \mathbf{k} is normal to the surface x^2 + y^2 - z =
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