For vectors u = 21' 3] and v = 41' + j, calculate: a] Zn 317 b] a unit vector pointing in the same direction as u. c) Graph vectors u, v and u + v d] Find the angle between the two vectors e) Find proj E For the parametric equations: t22 {x(t) = t 2 y(t) = 3 t2 a) Plot the parametric equations by hand. Be sure to indicate the orientation of the curve on the graph. b) Solve for y as a function 0f 95,); = f(x). a) Find a parametric representation for the oriented curve: the circle x2 + 312 = 4, oriented counterclockwise. b] Shift the parameter, so that t = 0 corresponds to point [0, -2)