(10 points) Consider the space curve defined by the vector functionr(t)=(a)(5 points) Find all points where the curve intersects the plane y=z.(b)(5 points) Let Lbe the line connecting the points in(a), find the anglebetween L and r(t)at the point where r(t) first intersects y=z. Hint: this occurs at the smaller t value in(a).