A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. http://en.wikipedia.org/wiki/Cartesian_coordinate_system
A Cylindrical coordinate system is a three-dimensional coordinate system, where each point is specified by the two polar coordinates of its perpendicular projection onto some fixed plane, and by its (signed) distance from that plane. http://en.wikipedia.org/wiki/Cylindrical_coordinate_system
Hence your answer values should be different.
The magnitude and absolute direction should be the same. The vector components will naturally differ because the frames of reference (cartesian vs. cylindrical) differ.