A vector $$\vec{v}$$ in the first octant is inclined to the $$x$$ axis at $$60°$$, to the $$y$$-axis at $$45°$$ and to the $$z$$-axis at an acute angle. If a plane passing through the points $$(\sqrt{2}, -1, 1)$$ and $$(a, b, c)$$, is normal to $$\vec{v}$$, then

A

$$\sqrt{2}a + b + c = 1$$

B

$$a + b + \sqrt{2}c = 1$$

C

$$a + \sqrt{2}b + c = 1$$

D

$$\sqrt{2}a - b + c = 1$$