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

question 96

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 \(y = \frac { x } { 10 }\)

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