Which of the Following Equations Give Alternate Parameterizations of the Line

question 58

Multiple Choice

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) \(\vec { r } = ( 2 + 3 t ) \vec { i } + ( 1 + 3 t ) \vec { j } + ( 1 - 6 t ) \vec { k }\)

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Definitions:

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