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Find a Set of Parametric Equations of the Line (3,4,3)( 3 , - 4 , - 3 )

Question 53

Multiple Choice

Find a set of parametric equations of the line.
Passes through (3,4,3) ( 3 , - 4 , - 3 ) and is parallel to v=(6,6,3) \mathbf { v } = ( 6 , - 6,3 ) .


A) x=3+6ty=46tz=3+3t\begin{array} { l } x = 3 + 6 t \\y = - 4 - 6 t \\z = - 3 + 3 t\end{array}
B) x=36ty=46tz=3+3t\begin{array} { l } x = 3 - 6 t \\y = - 4 - 6 t \\z = - 3 + 3 t\end{array}
C) x=3+6ty=4+6tz=3+3t\begin{array} { l } x = 3 + 6 t \\y = - 4 + 6 t \\z = - 3 + 3 t\end{array}
D) x=36ty=46tz=33t\begin{array} { l } x = 3 - 6 t \\y = - 4 - 6 t \\z = - 3 - 3 t\end{array}
E) x=3+6ty=46tz=33t\begin{array} { l } x = 3 + 6 t \\y = - 4 - 6 t \\z = - 3 - 3 t\end{array}

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