A 2-dimensional vector $\mathbf{x} = [3, 4]$ is transformed by a rotation. The transformation for a vector $[x_1, x_2]$ and a rotation angle $\alpha$ is defined by the formula:

New Vector = $[\cos(\alpha) \cdot x_1 - \sin(\alpha) \cdot x_2, \quad \sin(\alpha) \cdot x_1 + \cos(\alpha) \cdot x_2]$.

What is the resulting vector if the rotation angle $\alpha$ is $\pi/2$ radians (90 degrees)?

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