Which of the following equations give alternate parameterizations of the line L parameterized by $\vec { r } = ( 1 + 2 t ) \vec { i } + ( 2 + 2 t ) \vec { j } - ( 1 + 4 t ) \vec { k } ?$
A) $\vec { r } = - ( 1 + t ) \vec { i } - t \vec { j } + ( 3 + 2 t ) \vec { k }$
B) $\vec { r } = ( 3 - 2 t ) \vec { i } + ( 2 - 2 t ) \vec { j } + ( 3 - 4 t ) \vec { k }$
C) $\vec { r } = ( 2 + 3 t ) \vec { i } + ( 1 + 3 t ) \vec { j } + ( 1 - 6 t ) \vec { k }$

Question

Quizplus · Accepted Answer

The Answer of Which of the following equations give alternate parameterizations of the line L parameterized by $\vec { r } = ( 1 + 2 t ) \vec { i } + ( 2 + 2 t ) \vec { j } - ( 1 + 4 t ) \vec { k } ?$
A) $\vec { r } = - ( 1 + t ) \vec { i } - t \vec { j } + ( 3 + 2 t ) \vec { k }$
B) $\vec { r } = ( 3 - 2 t ) \vec { i } + ( 2 - 2 t ) \vec { j } + ( 3 - 4 t ) \vec { k }$
C) $\vec { r } = ( 2 + 3 t ) \vec { i } + ( 1 + 3 t ) \vec { j } + ( 1 - 6 t ) \vec { k }$

Which of the Following Equations Give Alternate Parameterizations of the Line