Find an Equation of the Tangent Plane to the Surface

Multiple Choice

Find an equation of the tangent plane to the surface represented by the vector-valued function at the given point. $$\overrightarrow { \mathbf { r } } ( u , v ) = ( 2 u + v ) \hat { \mathbf { i } } + ( u - v ) \hat { \mathbf { j } } + v \hat { \mathbf { k } } , ( 4 , - 4,4 )$$

A) $( x - 4 ) - 2 ( y + 4 ) - 3 ( z - 4 ) = 0$
B) $2 ( x - 4 ) + 2 ( y + 4 ) - 3 ( z - 4 ) = 0$
C) $z = 0$
D) $( x - 4 ) - 2 ( y + 4 ) - 3 ( z - 4 ) = 0$ .
E) $2 ( x - 4 ) - 2 ( y + 4 ) + 1 ( z - 4 ) = 0$ .