Min and Max distance to an ellipse in space

An ellipse in the 3D Cartesian space is specified parametrically by

$\mathbf{p}(t) = \mathbf{p_0} + \mathbf{v_1} \cos t + \mathbf{v_2} \sin t$

where $\mathbf{p_0} = (2,1,5) , \mathbf{v_1} =(2,1,1), \mathbf{v_2} = (-2, 2, 2)$ . Find the minimum distance and the maximum distance from the point $\mathbf{q} = (-3, -2, 9)$ to the given ellipse $\mathbf{p}(t)$ and enter the sum of these two values.