If J = r sin cos ar cos 2 sin a + tan /2 In r

Question:

If J = r sin θ cos Φ ar – cos 2θ sin Φ aθ + tan θ/2 In r aΦ at T(2, π/2, 3π/2), determine the vector component of J that is
(a) Parallel to az
(b) Normal to surface Φ = 3π/2
(c) Tangential to the spherical surface r = 2
(d) Parallel to the line y = – 2 , z = 0