Find a Vector-Valued Function Whose Graph Is the Plane $x + y + z = 4 \text {. }$

Multiple Choice

Find a vector-valued function whose graph is the plane $x + y + z = 4 \text {. }$

A) $\mathbf { r } ( u , v ) = u \mathbf { i } - v \mathbf { j } - ( 4 - u - v ) \mathbf { k }$
B) $\mathbf { r } ( u , v ) = u \mathbf { i } + v \mathbf { j } + ( 4 - u - v ) \mathbf { k }$
C) $\mathbf { r } ( u , v ) = u \mathbf { i } + v \mathbf { j } + ( 4 + u + v ) \mathbf { k }$
D) $\mathbf { r } ( u , v ) = u \mathbf { i } + v \mathbf { j } - ( 4 + u + v ) \mathbf { k }$
E) $\mathbf { r } ( u , v ) = - u \mathbf { i } - v \mathbf { j } + ( 4 - u - v ) \mathbf { k }$