Multivariable Calculus Problem - Parametric Curves
A curve is parameterized by r(t)=(t,3/2-t^{2}). Determine all the points where r(t) is orthogonal to r'(t). Would you just solve for r'(t) to get (1,-2t) and then solve r(t) dot r'(t) = 0 to get t=0,-1 and 1? Thank you!