A particle of mass m is moving in the xy-plane such that its velocity at a point (x, y) is given as \(\vec v = \alpha (y\hat x + 2x\hat y)\), where α is a non-zero constant. What is the force F acting on the particle?
(A) \(\vec F = 2m\alpha^2(x \hat x + y\hat y)\)
(B) \(\vec F = m\alpha^2(y \hat x + 2x\hat y)\)
(C) \(\vec F = 2m\alpha^2(y \hat x + x\hat y)\)
(D) \(\vec F = m\alpha^2(x \hat x +2 y\hat y)\)