Consider a 4-dimensional vector x = [1, 0, 3, 4]. This vector is transformed by multiplying it with a block-diagonal matrix composed of two 2x2 rotation matrices. The first rotation matrix, applied to the first two components, is R1 = [[0, -1], [1, 0]] (a 90-degree rotation). The second rotation matrix, applied to the last two components, is R2 = [[1, 0], [0, 1]] (an identity matrix, or 0-degree rotation). Calculate the resulting 4-dimensional vector x' after the transformation.