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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 r=(1+2t) i+(2+2t) j(1+4t) k?\vec { r } = ( 1 + 2 t ) \vec { i } + ( 2 + 2 t ) \vec { j } - ( 1 + 4 t ) \vec { k } ?


A) r=(1+t) itj+(3+2t) k\vec { r } = - ( 1 + t ) \vec { i } - t \vec { j } + ( 3 + 2 t ) \vec { k }
B) r=(32t) i+(22t) j+(34t) k\vec { r } = ( 3 - 2 t ) \vec { i } + ( 2 - 2 t ) \vec { j } + ( 3 - 4 t ) \vec { k }
C) r=(2+3t) i+(1+3t) j+(16t) k\vec { r } = ( 2 + 3 t ) \vec { i } + ( 1 + 3 t ) \vec { j } + ( 1 - 6 t ) \vec { k }

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