Find the equation of the line that passes through the point (1,2,1) and that is parallel to the vector tangent to the curve vec(r) (t) = ⟨t² + 3t + 2, eᵗ cos t, ln(t+1)⟩ at (2, 1, 0).
A. x = 1 + 3t, y = 2 + t, z = 1 + t
B. x = 3 + 2t, y = eᵗ (cos t - sin t), z= 1/(1+t)
C. x = 1 + 2t, y = 2 +t, z = 1
D. x = 2 + 3t, y = 1 + t, z = t
E. x = 2 + 3t, y = 1 + 2t, z = -3t