3.34 transform the following vectors into cylindrical coordinates and then evaluate them at the indicated points: (a) a = ˆx(x + y) at p1 = (1, 2, 3) (b) b = ˆx(y − x) + ˆy(x − y) at p2 = (1, 0, 2) ∗ (c) c = ˆxy2/(x2 + y2) − ˆyx2/(x2 + y2) + ˆz4 at p3 = (1,−1, 2) (d) d = ˆr sin θ + ˆ θθ cos θ + ˆ φφcos2 φ at p4 = (2, π/2, π/4) ∗ (e) e = ˆr cos φ + ˆ θθ sin φ + ˆ φφsin2 θ at p5 = (3, π/2, π)