1) Consider the curve parameterized by the equations \mathbf{v}=\langle\cos (2 \pi t), \sin (2 \pi t)\rangle, \text { for } 0 \leq t \leq 1 a) At what point,or points,

on the plane does this curve intersect the line x = 0? b) At what point, or points,on the plane does this curve intersect the line y = x? c) What is the distance between this curve's starting point and ending point, for 0 <= t <= 1? d) What is the length of this curve, for 0 <= t <= 1?