Find the Rectangular Equation for the Surface by Eliminating Parameters $\overrightarrow { \mathbf { r } } ( u , v ) = u \hat { \mathbf { i } } + v \hat { \mathbf { j } } + \frac { v } { 10 } \hat { \mathbf { k } }$

Multiple Choice

Find the rectangular equation for the surface by eliminating parameters from the vector-valued function. Identify the surface. $\overrightarrow { \mathbf { r } } ( u , v ) = u \hat { \mathbf { i } } + v \hat { \mathbf { j } } + \frac { v } { 10 } \hat { \mathbf { k } }$

A) the plane $z = \frac { x } { 10 }$
B) the cylinder $x ^ { 2 } + y ^ { 2 } = 100$
C) the plane $x = \frac { y } { 10 }$
D) the plane $z = \frac { y } { 10 }$
E) the plane $y = \frac { x } { 10 }$