7.(24 points) Consider the plane curve \(\mathbf{r}(t)\) whose graph is given below. It is directed in the increasing direction of horizontal axis. Points \( P, Q, R, S \) and \( T \) are on the curve. \( P, Q \) and \( S \) are local extremum points, and \( R \) is an inflection point. \( T \) is just an ordinary point, neither an extrema nor an inflection. According to these, which of the following statements are true? Which of them are false? (a) The unit tangent vector at the point \( Q \) is \(\langle 1,0 angle \).(b) Both components of tangent vector at the point \( T \) have negative sign. (c) The curvature at the point \( S \) is greater than the curvature at the point \( P \).(d) The curvature at the point \( R \) is greater than the curvature at the point \( T \).(e) The curvature at the point \( Q \) is negative, the curvature at the point \( S \) is positive. F (f) Normal vectors at the points \( P \) and \( Q \) are directed through same direction. (g) Normal vector at the point \( S \) is directed upwards. F (h) The binormal vector at the point \( Q \) is pointing out of the page. T